77679672 has 64 divisors (see below), whose sum is σ = 227124480. Its totient is φ = 21676032.

The previous prime is 77679659. The next prime is 77679691. The reversal of 77679672 is 27697677.

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, 1848 + ... + 12600.

It is an arithmetic number, because the mean of its divisors is an integer number (3548820).

Almost surely, 2^77679672 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 77679672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113562240).

77679672 is an abundant number, since it is smaller than the sum of its proper divisors (149444808).

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

77679672 is a wasteful number, since it uses less digits than its factorization.

77679672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10812 (or 10808 counting only the distinct ones).

The product of its digits is 1555848, while the sum is 51.

The square root of 77679672 is about 8813.6072070407. The cubic root of 77679672 is about 426.6801715560.

The spelling of 77679672 in words is "seventy-seven million, six hundred seventy-nine thousand, six hundred seventy-two".