7696800 has 108 divisors (see below), whose sum is σ = 27166230. Its totient is φ = 2050560.

The previous prime is 7696763. The next prime is 7696811. The reversal of 7696800 is 86967.

It can be written as a sum of positive squares in 3 ways, for example, as 5588496 + 2108304 = 2364^2 + 1452^2 .

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

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6666 + ... + 7734.

Almost surely, 2^7696800 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 7696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13583115).

7696800 is an abundant number, since it is smaller than the sum of its proper divisors (19469430).

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

7696800 is a wasteful number, since it uses less digits than its factorization.

7696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7696800 is about 2774.3107252073. The cubic root of 7696800 is about 197.4407235451.

It can be divided in two parts, 769 and 6800, that added together give a square (7569 = 87²).

The spelling of 7696800 in words is "seven million, six hundred ninety-six thousand, eight hundred".