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77980725 = 345297397
BaseRepresentation
bin1001010010111…
…10010000110101
312102201211110000
410221132100311
5124430340400
611423221513
71634553024
oct451362065
9172654400
1077980725
1140022089
1222147899
1313204254
14a4dc8bb
156ca5600
hex4a5e435

77980725 has 60 divisors (see below), whose sum is σ = 146304004. Its totient is φ = 41057280.

The previous prime is 77980723. The next prime is 77980733. The reversal of 77980725 is 52708977.

It can be written as a sum of positive squares in 6 ways, for example, as 505521 + 77475204 = 711^2 + 8802^2 .

It is not a de Polignac number, because 77980725 - 21 = 77980723 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77980723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 196227 + ... + 196623.

Almost surely, 277980725 is an apocalyptic number.

77980725 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77980725 is a deficient number, since it is larger than the sum of its proper divisors (68323279).

77980725 is a wasteful number, since it uses less digits than its factorization.

77980725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 77980725 is about 8830.6695669128. The cubic root of 77980725 is about 427.2306706139.

The spelling of 77980725 in words is "seventy-seven million, nine hundred eighty thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 97 135 225 291 397 405 485 675 873 1191 1455 1985 2025 2425 2619 3573 4365 5955 7275 7857 9925 10719 13095 17865 21825 29775 32157 38509 39285 53595 65475 89325 115527 160785 192545 196425 267975 346581 577635 803925 962725 1039743 1732905 2888175 3119229 5198715 8664525 15596145 25993575 77980725