76794000 has 80 divisors (see below), whose sum is σ = 247603200. Its totient is φ = 20476800.

The previous prime is 76793999. The next prime is 76794013. The reversal of 76794000 is 49767.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400 + ... + 12399.

It is an arithmetic number, because the mean of its divisors is an integer number (3095040).

Almost surely, 2^76794000 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 76794000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123801600).

76794000 is an abundant number, since it is smaller than the sum of its proper divisors (170809200).

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

76794000 is a wasteful number, since it uses less digits than its factorization.

76794000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12825 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 76794000 is about 8763.2185867979. The cubic root of 76794000 is about 425.0523580247.

The spelling of 76794000 in words is "seventy-six million, seven hundred ninety-four thousand".