76601600 has 54 divisors (see below), whose sum is σ = 189616770. Its totient is φ = 30638080.

The previous prime is 76601593. The next prime is 76601611. The reversal of 76601600 is 610667.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 76597504 = 64^2 + 8752^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 76601600.

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, 416 + ... + 12384.

Almost surely, 2^76601600 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 76601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94808385).

76601600 is an abundant number, since it is smaller than the sum of its proper divisors (113015170).

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

76601600 is a wasteful number, since it uses less digits than its factorization.

76601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11995 (or 11976 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 76601600 is about 8752.2340005281. The cubic root of 76601600 is about 424.6970851896.

The spelling of 76601600 in words is "seventy-six million, six hundred one thousand, six hundred".