82978320 has 160 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 20252160.

The previous prime is 82978307. The next prime is 82978331. The reversal of 82978320 is 2387928.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141067 + ... + 141653.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2^82978320 is an apocalyptic number.

82978320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82978320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

82978320 is an abundant number, since it is smaller than the sum of its proper divisors (197003760).

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

82978320 is a wasteful number, since it uses less digits than its factorization.

82978320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 82978320 is about 9109.2436568576. The cubic root of 82978320 is about 436.1690840421.

The spelling of 82978320 in words is "eighty-two million, nine hundred seventy-eight thousand, three hundred twenty".