82756080 has 320 divisors, whose sum is σ = 322122240. Its totient is φ = 19595520.

The previous prime is 82756061. The next prime is 82756097. The reversal of 82756080 is 8065728.

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 63 ways as a sum of consecutive naturals, for example, 1924539 + ... + 1924581.

It is an arithmetic number, because the mean of its divisors is an integer number (1006632).

Almost surely, 2^82756080 is an apocalyptic number.

82756080 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 82756080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161061120).

82756080 is an abundant number, since it is smaller than the sum of its proper divisors (239366160).

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

82756080 is a wasteful number, since it uses less digits than its factorization.

82756080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 82756080 is about 9097.0368802154. The cubic root of 82756080 is about 435.7793401285.

The spelling of 82756080 in words is "eighty-two million, seven hundred fifty-six thousand, eighty".