77264772 has 72 divisors (see below), whose sum is σ = 201680640. Its totient is φ = 22988160.

The previous prime is 77264753. The next prime is 77264791. The reversal of 77264772 is 27746277.

It is an interprime number because it is at equal distance from previous prime (77264753) and next prime (77264791).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62254 + ... + 63482.

It is an arithmetic number, because the mean of its divisors is an integer number (2801120).

Almost surely, 2^77264772 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 77264772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100840320).

77264772 is an abundant number, since it is smaller than the sum of its proper divisors (124415868).

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

77264772 is a wasteful number, since it uses less digits than its factorization.

77264772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1278 counting only the distinct ones).

The product of its digits is 230496, while the sum is 42.

The square root of 77264772 is about 8790.0382251729. The cubic root of 77264772 is about 425.9191585450.

The spelling of 77264772 in words is "seventy-seven million, two hundred sixty-four thousand, seven hundred seventy-two".