7897982400 has 1008 divisors, whose sum is σ = 37145122560. Its totient is φ = 1540915200.

The previous prime is 7897982341. The next prime is 7897982447. The reversal of 7897982400 is 42897987.

7897982400 is a `hidden beast` number, since 78 + 97 + 9 + 82 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18849391 + ... + 18849809.

It is an arithmetic number, because the mean of its divisors is an integer number (36850320).

Almost surely, 2^7897982400 is an apocalyptic number.

7897982400 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 7897982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18572561280).

7897982400 is an abundant number, since it is smaller than the sum of its proper divisors (29247140160).

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

7897982400 is a wasteful number, since it uses less digits than its factorization.

7897982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 7897982400 is about 88870.5935616501. The cubic root of 7897982400 is about 1991.4621376506.

The spelling of 7897982400 in words is "seven billion, eight hundred ninety-seven million, nine hundred eighty-two thousand, four hundred".