7899494400 has 864 divisors, whose sum is σ = 33797836800. Its totient is φ = 1725235200.

The previous prime is 7899494381. The next prime is 7899494443. The reversal of 7899494400 is 44949987.

It is a happy number.

7899494400 is a `hidden beast` number, since 78 + 99 + 49 + 440 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99993561 + ... + 99993639.

Almost surely, 2^7899494400 is an apocalyptic number.

7899494400 is a gapful number since it is divisible by the number (70) 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 7899494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898918400).

7899494400 is an abundant number, since it is smaller than the sum of its proper divisors (25898342400).

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

7899494400 is a wasteful number, since it uses less digits than its factorization.

7899494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 7899494400 is about 88879.0999054333. The cubic root of 7899494400 is about 1991.5892122405.

The spelling of 7899494400 in words is "seven billion, eight hundred ninety-nine million, four hundred ninety-four thousand, four hundred".