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77780136 = 2337653709
BaseRepresentation
bin1001010001011…
…01010010101000
312102100122021210
410220231102220
5124402431021
611415033120
71633056150
oct450552250
9172318253
1077780136
113a9a5405
122206b7a0
1313163b65
14a489760
156c65e76
hex4a2d4a8

77780136 has 64 divisors (see below), whose sum is σ = 222883200. Its totient is φ = 22157568.

The previous prime is 77780123. The next prime is 77780137. The reversal of 77780136 is 63108777.

It is a junction number, because it is equal to n+sod(n) for n = 77780094 and 77780103.

It is not an unprimeable number, because it can be changed into a prime (77780137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109350 + ... + 110058.

It is an arithmetic number, because the mean of its divisors is an integer number (3482550).

Almost surely, 277780136 is an apocalyptic number.

It is an amenable number.

77780136 is an abundant number, since it is smaller than the sum of its proper divisors (145103064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77780136 is a wasteful number, since it uses less digits than its factorization.

77780136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The square root of 77780136 is about 8819.3047345015. The cubic root of 77780136 is about 426.8640357478.

The spelling of 77780136 in words is "seventy-seven million, seven hundred eighty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 653 709 1306 1418 1959 2127 2612 2836 3918 4254 4571 4963 5224 5672 7836 8508 9142 9926 13713 14889 15672 17016 18284 19852 27426 29778 36568 39704 54852 59556 109704 119112 462977 925954 1388931 1851908 2777862 3240839 3703816 5555724 6481678 9722517 11111448 12963356 19445034 25926712 38890068 77780136