77976836784 has 480 divisors, whose sum is σ = 300757536000. Its totient is φ = 19061360640.

The previous prime is 77976836771. The next prime is 77976836803. The reversal of 77976836784 is 48763867977.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3948567 + ... + 3968265.

It is an arithmetic number, because the mean of its divisors is an integer number (626578200).

Almost surely, 2^77976836784 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 77976836784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150378768000).

77976836784 is an abundant number, since it is smaller than the sum of its proper divisors (222780699216).

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

77976836784 is a wasteful number, since it uses less digits than its factorization.

77976836784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19758 (or 19739 counting only the distinct ones).

The product of its digits is 597445632, while the sum is 72.

The spelling of 77976836784 in words is "seventy-seven billion, nine hundred seventy-six million, eight hundred thirty-six thousand, seven hundred eighty-four".