77835972 has 24 divisors (see below), whose sum is σ = 182072800. Its totient is φ = 25880256.

The previous prime is 77835949. The next prime is 77835983. The reversal of 77835972 is 27953877.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3022 + ... + 12837.

Almost surely, 2^77835972 is an apocalyptic number.

It is an amenable number.

77835972 is an abundant number, since it is smaller than the sum of its proper divisors (104236828).

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

77835972 is a wasteful number, since it uses less digits than its factorization.

77835972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16275 (or 16273 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The square root of 77835972 is about 8822.4697222490. The cubic root of 77835972 is about 426.9661555626.

The spelling of 77835972 in words is "seventy-seven million, eight hundred thirty-five thousand, nine hundred seventy-two".