76964100 has 72 divisors (see below), whose sum is σ = 235797408. Its totient is φ = 19315200.

The previous prime is 76964099. The next prime is 76964131. The reversal of 76964100 is 146967.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2446 + ... + 12645.

It is an arithmetic number, because the mean of its divisors is an integer number (3274964).

Almost surely, 2^76964100 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 76964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117898704).

76964100 is an abundant number, since it is smaller than the sum of its proper divisors (158833308).

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

76964100 is a wasteful number, since it uses less digits than its factorization.

76964100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15125 (or 15118 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 76964100 is about 8772.9185565580. The cubic root of 76964100 is about 425.3659592989.

The spelling of 76964100 in words is "seventy-six million, nine hundred sixty-four thousand, one hundred".