77566464 has 160 divisors (see below), whose sum is σ = 238318080. Its totient is φ = 24883200.

The previous prime is 77566459. The next prime is 77566481. The reversal of 77566464 is 46466577.

It is a happy number.

It is a zygodrome in base 8.

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, 428454 + ... + 428634.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^77566464 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 77566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

77566464 is an abundant number, since it is smaller than the sum of its proper divisors (160751616).

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

77566464 is a wasteful number, since it uses less digits than its factorization.

77566464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 217 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 77566464 is about 8807.1825233726. The cubic root of 77566464 is about 426.4727938640.

The spelling of 77566464 in words is "seventy-seven million, five hundred sixty-six thousand, four hundred sixty-four".