9079382400 has 384 divisors, whose sum is σ = 32929320960. Its totient is φ = 2180505600.

The previous prime is 9079382371. The next prime is 9079382401. The reversal of 9079382400 is 42839709.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9079382401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13410862 + ... + 13411538.

It is an arithmetic number, because the mean of its divisors is an integer number (85753440).

Almost surely, 2^9079382400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9079382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16464660480).

9079382400 is an abundant number, since it is smaller than the sum of its proper divisors (23849938560).

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

9079382400 is a wasteful number, since it uses less digits than its factorization.

9079382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 9079382400 is about 95285.7932747584. The cubic root of 9079382400 is about 2086.1815614806.

The spelling of 9079382400 in words is "nine billion, seventy-nine million, three hundred eighty-two thousand, four hundred".