84312792400 has 120 divisors (see below), whose sum is σ = 208884559104. Its totient is φ = 32686348800.

The previous prime is 84312792373. The next prime is 84312792419. The reversal of 84312792400 is 429721348.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1914630 + ... + 1958170.

Almost surely, 2^84312792400 is an apocalyptic number.

84312792400 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 84312792400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104442279552).

84312792400 is an abundant number, since it is smaller than the sum of its proper divisors (124571766704).

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

84312792400 is a wasteful number, since it uses less digits than its factorization.

84312792400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43709 (or 43698 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 84312792400 in words is "eighty-four billion, three hundred twelve million, seven hundred ninety-two thousand, four hundred".