82379772 has 72 divisors (see below), whose sum is σ = 217456512. Its totient is φ = 26265600.

The previous prime is 82379771. The next prime is 82379777. The reversal of 82379772 is 27797328.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82379771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107872 + ... + 108632.

Almost surely, 2^82379772 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 82379772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108728256).

82379772 is an abundant number, since it is smaller than the sum of its proper divisors (135076740).

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

82379772 is a wasteful number, since it uses less digits than its factorization.

82379772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 894 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 82379772 is about 9076.3303157168. The cubic root of 82379772 is about 435.1178119266.

The spelling of 82379772 in words is "eighty-two million, three hundred seventy-nine thousand, seven hundred seventy-two".