7899654400 has 243 divisors, whose sum is σ = 21706906459. Its totient is φ = 2844160000.

The previous prime is 7899654383. The next prime is 7899654403. The reversal of 7899654400 is 44569987.

It is a happy number.

The square root of 7899654400 is 88880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1458628864 + 6441025536 = 38192^2 + 80256^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7899654403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78214350 + ... + 78214450.

Almost surely, 2^7899654400 is an apocalyptic number.

7899654400 is the 88880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7899654400

7899654400 is an abundant number, since it is smaller than the sum of its proper divisors (13807252059).

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

7899654400 is a wasteful number, since it uses less digits than its factorization.

7899654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The cubic root of 7899654400 is about 1991.6026583383.

The spelling of 7899654400 in words is "seven billion, eight hundred ninety-nine million, six hundred fifty-four thousand, four hundred".