7894238400 has 336 divisors, whose sum is σ = 29485925280. Its totient is φ = 2053324800.

The previous prime is 7894238353. The next prime is 7894238413. The reversal of 7894238400 is 48324987.

7894238400 is a `hidden beast` number, since 7 + 8 + 9 + 4 + 238 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1768972 + ... + 1773428.

It is an arithmetic number, because the mean of its divisors is an integer number (87755730).

Almost surely, 2^7894238400 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 7894238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742962640).

7894238400 is an abundant number, since it is smaller than the sum of its proper divisors (21591686880).

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

7894238400 is a wasteful number, since it uses less digits than its factorization.

7894238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4529 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 7894238400 is about 88849.5267291841. The cubic root of 7894238400 is about 1991.1474069451.

The spelling of 7894238400 in words is "seven billion, eight hundred ninety-four million, two hundred thirty-eight thousand, four hundred".