82779168 has 24 divisors (see below), whose sum is σ = 217295568. Its totient is φ = 27593024.

The previous prime is 82779133. The next prime is 82779187. The reversal of 82779168 is 86197728.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431046 + ... + 431237.

It is an arithmetic number, because the mean of its divisors is an integer number (9053982).

Almost surely, 2^82779168 is an apocalyptic number.

It is an amenable number.

82779168 is an abundant number, since it is smaller than the sum of its proper divisors (134516400).

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

82779168 is a wasteful number, since it uses less digits than its factorization.

82779168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862296 (or 862288 counting only the distinct ones).

The product of its digits is 338688, while the sum is 48.

The square root of 82779168 is about 9098.3057763520. The cubic root of 82779168 is about 435.8198621779.

The spelling of 82779168 in words is "eighty-two million, seven hundred seventy-nine thousand, one hundred sixty-eight".