7696000 has 128 divisors (see below), whose sum is σ = 21162960. Its totient is φ = 2764800.

The previous prime is 7695979. The next prime is 7696021. The reversal of 7696000 is 6967.

It is an interprime number because it is at equal distance from previous prime (7695979) and next prime (7696021).

It can be written as a sum of positive squares in 8 ways, for example, as 341056 + 7354944 = 584^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 7696000.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 207982 + ... + 208018.

Almost surely, 2^7696000 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 7696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581480).

7696000 is an abundant number, since it is smaller than the sum of its proper divisors (13466960).

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

7696000 is a wasteful number, since it uses less digits than its factorization.

7696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 7696000 is about 2774.1665415040. The cubic root of 7696000 is about 197.4338826912.

The spelling of 7696000 in words is "seven million, six hundred ninety-six thousand".