7913894400 has 600 divisors, whose sum is σ = 31081911300. Its totient is φ = 1981808640.

The previous prime is 7913894389. The next prime is 7913894413. The reversal of 7913894400 is 44983197.

7913894400 is a `hidden beast` number, since 79 + 138 + 9 + 440 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4445155584 + 3468738816 = 66672^2 + 58896^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17625376 + ... + 17625824.

Almost surely, 2^7913894400 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 7913894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15540955650).

7913894400 is an abundant number, since it is smaller than the sum of its proper divisors (23168016900).

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

7913894400 is a wasteful number, since it uses less digits than its factorization.

7913894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 7913894400 is about 88960.0719424170. The cubic root of 7913894400 is about 1992.7986346234.

The spelling of 7913894400 in words is "seven billion, nine hundred thirteen million, eight hundred ninety-four thousand, four hundred".