77607905760 has 768 divisors, whose sum is σ = 340787865600. Its totient is φ = 16024780800.

The previous prime is 77607905741. The next prime is 77607905773. The reversal of 77607905760 is 6750970677.

77607905760 is a `hidden beast` number, since 7 + 7 + 60 + 7 + 9 + 0 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 77607905697 and 77607905706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60207196 + ... + 60208484.

It is an arithmetic number, because the mean of its divisors is an integer number (443734200).

Almost surely, 2^77607905760 is an apocalyptic number.

77607905760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77607905760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170393932800).

77607905760 is an abundant number, since it is smaller than the sum of its proper divisors (263179959840).

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

77607905760 is a wasteful number, since it uses less digits than its factorization.

77607905760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1512 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 77607905760 in words is "seventy-seven billion, six hundred seven million, nine hundred five thousand, seven hundred sixty".