77681472 has 56 divisors (see below), whose sum is σ = 224223072. Its totient is φ = 23539200.

The previous prime is 77681447. The next prime is 77681477. The reversal of 77681472 is 27418677.

It is a super-2 number, since 2×77681472² = 12068822184173568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77681477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16279 + ... + 20502.

Almost surely, 2^77681472 is an apocalyptic number.

It is an amenable number.

77681472 is an abundant number, since it is smaller than the sum of its proper divisors (146541600).

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

77681472 is a wasteful number, since it uses less digits than its factorization.

77681472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36807 (or 36797 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 77681472 is about 8813.7093212790. The cubic root of 77681472 is about 426.6834672204.

The spelling of 77681472 in words is "seventy-seven million, six hundred eighty-one thousand, four hundred seventy-two".