82722507120 has 480 divisors, whose sum is σ = 316796223744. Its totient is φ = 19894118400.

The previous prime is 82722507079. The next prime is 82722507199. The reversal of 82722507120 is 2170522728.

82722507120 is a `hidden beast` number, since 8 + 2 + 7 + 22 + 507 + 120 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28011564 + ... + 28014516.

Almost surely, 2^82722507120 is an apocalyptic number.

82722507120 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 82722507120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158398111872).

82722507120 is an abundant number, since it is smaller than the sum of its proper divisors (234073716624).

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

82722507120 is a wasteful number, since it uses less digits than its factorization.

82722507120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 82722507120 in words is "eighty-two billion, seven hundred twenty-two million, five hundred seven thousand, one hundred twenty".