77968872 has 64 divisors (see below), whose sum is σ = 219240000. Its totient is φ = 25670592.

The previous prime is 77968861. The next prime is 77968889. The reversal of 77968872 is 27886977.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 15754 + ... + 20102.

It is an arithmetic number, because the mean of its divisors is an integer number (3425625).

Almost surely, 2^77968872 is an apocalyptic number.

77968872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77968872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109620000).

77968872 is an abundant number, since it is smaller than the sum of its proper divisors (141271128).

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

77968872 is a wasteful number, since it uses less digits than its factorization.

77968872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4437 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 77968872 is about 8829.9984144959. The cubic root of 77968872 is about 427.2090232913.

The spelling of 77968872 in words is "seventy-seven million, nine hundred sixty-eight thousand, eight hundred seventy-two".