7888400 has 120 divisors (see below), whose sum is σ = 21472584. Its totient is φ = 2764800.

The previous prime is 7888399. The next prime is 7888411. The reversal of 7888400 is 48887.

It can be written as a sum of positive squares in 12 ways, for example, as 3936256 + 3952144 = 1984^2 + 1988^2 .

It is a super-3 number, since 3×7888400³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192380 + ... + 192420.

Almost surely, 2^7888400 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 7888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10736292).

7888400 is an abundant number, since it is smaller than the sum of its proper divisors (13584184).

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

7888400 is a wasteful number, since it uses less digits than its factorization.

7888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 7888400 is about 2808.6295590554. The cubic root of 7888400 is about 199.0656416702.

The spelling of 7888400 in words is "seven million, eight hundred eighty-eight thousand, four hundred".