7988400 has 180 divisors, whose sum is σ = 31782192. Its totient is φ = 1820160.

The previous prime is 7988389. The next prime is 7988413. The reversal of 7988400 is 48897.

7988400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25042 + ... + 25358.

Almost surely, 2^7988400 is an apocalyptic number.

7988400 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 7988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891096).

7988400 is an abundant number, since it is smaller than the sum of its proper divisors (23793792).

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

7988400 is a wasteful number, since it uses less digits than its factorization.

7988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7988400 is about 2826.3757711953. The cubic root of 7988400 is about 199.9032865734.

The spelling of 7988400 in words is "seven million, nine hundred eighty-eight thousand, four hundred".