82496400 has 360 divisors, whose sum is σ = 326032704. Its totient is φ = 17740800.

The previous prime is 82496399. The next prime is 82496429. The reversal of 82496400 is 469428.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1352370 + ... + 1352430.

Almost surely, 2^82496400 is an apocalyptic number.

82496400 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 82496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163016352).

82496400 is an abundant number, since it is smaller than the sum of its proper divisors (243536304).

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

82496400 is a wasteful number, since it uses less digits than its factorization.

82496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 82496400 is about 9082.7528866528. The cubic root of 82496400 is about 435.3230524028.

The spelling of 82496400 in words is "eighty-two million, four hundred ninety-six thousand, four hundred".