7904552400 has 240 divisors, whose sum is σ = 28790329920. Its totient is φ = 2058739200.

The previous prime is 7904552389. The next prime is 7904552419. The reversal of 7904552400 is 42554097.

7904552400 is a `hidden beast` number, since 7 + 90 + 45 + 524 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 455890 + ... + 472910.

It is an arithmetic number, because the mean of its divisors is an integer number (119959708).

Almost surely, 2^7904552400 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 7904552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395164960).

7904552400 is an abundant number, since it is smaller than the sum of its proper divisors (20885777520).

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

7904552400 is a wasteful number, since it uses less digits than its factorization.

7904552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17091 (or 17074 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7904552400 is about 88907.5497356664. The cubic root of 7904552400 is about 1992.0141891862.

The spelling of 7904552400 in words is "seven billion, nine hundred four million, five hundred fifty-two thousand, four hundred".