7961600 has 66 divisors (see below), whose sum is σ = 19798584. Its totient is φ = 3174400.

The previous prime is 7961567. The next prime is 7961617. The reversal of 7961600 is 61697.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25445 + ... + 25755.

Almost surely, 2^7961600 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 7961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9899292).

7961600 is an abundant number, since it is smaller than the sum of its proper divisors (11836984).

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

7961600 is a wasteful number, since it uses less digits than its factorization.

7961600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 7961600 is about 2821.6307341677. The cubic root of 7961600 is about 199.6794866303.

The spelling of 7961600 in words is "seven million, nine hundred sixty-one thousand, six hundred".