77605680 has 160 divisors (see below), whose sum is σ = 266125824. Its totient is φ = 18608128.

The previous prime is 77605667. The next prime is 77605699. The reversal of 77605680 is 8650677.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93427 + ... + 94253.

Almost surely, 2^77605680 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 77605680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133062912).

77605680 is an abundant number, since it is smaller than the sum of its proper divisors (188520144).

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

77605680 is a wasteful number, since it uses less digits than its factorization.

77605680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 77605680 is about 8809.4086067113. The cubic root of 77605680 is about 426.5446536966.

The spelling of 77605680 in words is "seventy-seven million, six hundred five thousand, six hundred eighty".