77560920 has 48 divisors (see below), whose sum is σ = 252074160. Its totient is φ = 20682816.

The previous prime is 77560891. The next prime is 77560921. The reversal of 77560920 is 2906577.

77560920 is a `hidden beast` number, since 7 + 7 + 560 + 92 + 0 = 666.

It is a super-2 number, since 2×77560920² = 12031392622492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77560921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107364 + ... + 108083.

It is an arithmetic number, because the mean of its divisors is an integer number (5251545).

Almost surely, 2^77560920 is an apocalyptic number.

It is an amenable number.

77560920 is an abundant number, since it is smaller than the sum of its proper divisors (174513240).

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

77560920 is a wasteful number, since it uses less digits than its factorization.

77560920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215464 (or 215457 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 77560920 is about 8806.8677746404. The cubic root of 77560920 is about 426.4626330231.

The spelling of 77560920 in words is "seventy-seven million, five hundred sixty thousand, nine hundred twenty".