76828336704 has 280 divisors, whose sum is σ = 260753156928. Its totient is φ = 21910901760.

The previous prime is 76828336703. The next prime is 76828336751. The reversal of 76828336704 is 40763382867.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (76828336703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23984767 + ... + 23987969.

Almost surely, 2^76828336704 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 76828336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130376578464).

76828336704 is an abundant number, since it is smaller than the sum of its proper divisors (183924820224).

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

76828336704 is a wasteful number, since it uses less digits than its factorization.

76828336704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3876 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 76828336704 in words is "seventy-six billion, eight hundred twenty-eight million, three hundred thirty-six thousand, seven hundred four".