77530656 has 96 divisors (see below), whose sum is σ = 234880128. Its totient is φ = 21934080.

The previous prime is 77530619. The next prime is 77530669. The reversal of 77530656 is 65603577.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×77530656² = 12022005239580672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75426 + ... + 76446.

It is an arithmetic number, because the mean of its divisors is an integer number (2446668).

Almost surely, 2^77530656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77530656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117440064).

77530656 is an abundant number, since it is smaller than the sum of its proper divisors (157349472).

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

77530656 is a wasteful number, since it uses less digits than its factorization.

77530656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 39.

The square root of 77530656 is about 8805.1494024803. The cubic root of 77530656 is about 426.4071577306.

The spelling of 77530656 in words is "seventy-seven million, five hundred thirty thousand, six hundred fifty-six".