77690872 has 64 divisors (see below), whose sum is σ = 177408000. Its totient is φ = 31822560.

The previous prime is 77690869. The next prime is 77690887. The reversal of 77690872 is 27809677.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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, 62497 + ... + 63727.

It is an arithmetic number, because the mean of its divisors is an integer number (2772000).

Almost surely, 2^77690872 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 77690872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704000).

77690872 is an abundant number, since it is smaller than the sum of its proper divisors (99717128).

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

77690872 is a wasteful number, since it uses less digits than its factorization.

77690872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The square root of 77690872 is about 8814.2425653030. The cubic root of 77690872 is about 426.7006770849.

The spelling of 77690872 in words is "seventy-seven million, six hundred ninety thousand, eight hundred seventy-two".