320079902400 has 336 divisors, whose sum is σ = 1168923016480. Its totient is φ = 85200076800.

The previous prime is 320079902393. The next prime is 320079902413. The reversal of 320079902400 is 4209970023.

320079902400 is a `hidden beast` number, since 320 + 0 + 7 + 9 + 90 + 240 + 0 = 666.

It is a super-2 number, since 2×320079902400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24919980 + ... + 24932820.

Almost surely, 2^320079902400 is an apocalyptic number.

320079902400 is a gapful number since it is divisible by the number (30) 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 320079902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584461508240).

320079902400 is an abundant number, since it is smaller than the sum of its proper divisors (848843114080).

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

320079902400 is a wasteful number, since it uses less digits than its factorization.

320079902400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13449 (or 13428 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 320079902400 in words is "three hundred twenty billion, seventy-nine million, nine hundred two thousand, four hundred".