77989872 has 80 divisors (see below), whose sum is σ = 215486208. Its totient is φ = 24245760.

The previous prime is 77989867. The next prime is 77989883. The reversal of 77989872 is 27898977.

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, 44403 + ... + 46125.

Almost surely, 2^77989872 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 77989872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107743104).

77989872 is an abundant number, since it is smaller than the sum of its proper divisors (137496336).

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

77989872 is a wasteful number, since it uses less digits than its factorization.

77989872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1792 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 57.

The square root of 77989872 is about 8831.1874626236. The cubic root of 77989872 is about 427.2473744261.

The spelling of 77989872 in words is "seventy-seven million, nine hundred eighty-nine thousand, eight hundred seventy-two".