7688400 has 120 divisors (see below), whose sum is σ = 25370400. Its totient is φ = 1989120.

The previous prime is 7688399. The next prime is 7688413. The reversal of 7688400 is 48867.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×7688400² = 118222989120000, which contains 22 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, 51526 + ... + 51674.

It is an arithmetic number, because the mean of its divisors is an integer number (211420).

Almost surely, 2^7688400 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 7688400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12685200).

7688400 is an abundant number, since it is smaller than the sum of its proper divisors (17682000).

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

7688400 is a wasteful number, since it uses less digits than its factorization.

7688400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 7688400 is about 2772.7964223866. The cubic root of 7688400 is about 197.3688709230.

The spelling of 7688400 in words is "seven million, six hundred eighty-eight thousand, four hundred".