77288772 has 48 divisors (see below), whose sum is σ = 201547584. Its totient is φ = 22848000.

The previous prime is 77288767. The next prime is 77288773. The reversal of 77288772 is 27788277.

It is not an unprimeable number, because it can be changed into a prime (77288773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729 + ... + 12552.

It is an arithmetic number, because the mean of its divisors is an integer number (4198908).

Almost surely, 2^77288772 is an apocalyptic number.

It is an amenable number.

77288772 is an abundant number, since it is smaller than the sum of its proper divisors (124258812).

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

77288772 is a wasteful number, since it uses less digits than its factorization.

77288772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14340 (or 14338 counting only the distinct ones).

The product of its digits is 614656, while the sum is 48.

The square root of 77288772 is about 8791.4033009526. The cubic root of 77288772 is about 425.9632536798.

The spelling of 77288772 in words is "seventy-seven million, two hundred eighty-eight thousand, seven hundred seventy-two".