76462800 has 60 divisors (see below), whose sum is σ = 244939680. Its totient is φ = 20389760.

The previous prime is 76462781. The next prime is 76462801. The reversal of 76462800 is 826467.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76462801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30660 + ... + 33059.

It is an arithmetic number, because the mean of its divisors is an integer number (4082328).

Almost surely, 2^76462800 is an apocalyptic number.

It is an amenable number.

76462800 is an abundant number, since it is smaller than the sum of its proper divisors (168476880).

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

76462800 is a wasteful number, since it uses less digits than its factorization.

76462800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63740 (or 63729 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 76462800 is about 8744.3010012236. The cubic root of 76462800 is about 424.4404169419.

The spelling of 76462800 in words is "seventy-six million, four hundred sixty-two thousand, eight hundred".