76505600 has 120 divisors (see below), whose sum is σ = 195352080. Its totient is φ = 29675520.

The previous prime is 76505599. The next prime is 76505669. The reversal of 76505600 is 650567.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 550331 + ... + 550469.

It is an arithmetic number, because the mean of its divisors is an integer number (1627934).

Almost surely, 2^76505600 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 76505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97676040).

76505600 is an abundant number, since it is smaller than the sum of its proper divisors (118846480).

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

76505600 is a wasteful number, since it uses less digits than its factorization.

76505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 76505600 is about 8746.7479671018. The cubic root of 76505600 is about 424.5195955814.

The spelling of 76505600 in words is "seventy-six million, five hundred five thousand, six hundred".