82293926400 has 2400 divisors, whose sum is σ = 397848464640. Its totient is φ = 16349921280.

The previous prime is 82293926389. The next prime is 82293926441. The reversal of 82293926400 is 462939228.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 239 ways as a sum of consecutive naturals, for example, 2837721586 + ... + 2837721614.

Almost surely, 2^82293926400 is an apocalyptic number.

82293926400 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 82293926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198924232320).

82293926400 is an abundant number, since it is smaller than the sum of its proper divisors (315554538240).

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

82293926400 is a wasteful number, since it uses less digits than its factorization.

82293926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 82293926400 in words is "eighty-two billion, two hundred ninety-three million, nine hundred twenty-six thousand, four hundred".