77804933820264 has 768 divisors, whose sum is σ = 260266406400000. Its totient is φ = 20507224522752.

The previous prime is 77804933820259. The next prime is 77804933820311. The reversal of 77804933820264 is 46202833940877.

77804933820264 is a `hidden beast` number, since 7 + 7 + 8 + 0 + 493 + 3 + 82 + 0 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17240178072 + ... + 17240182584.

It is an arithmetic number, because the mean of its divisors is an integer number (338888550000).

Almost surely, 2^{77804933820264} 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 77804933820264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130133203200000).

77804933820264 is an abundant number, since it is smaller than the sum of its proper divisors (182461472579736).

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

77804933820264 is a wasteful number, since it uses less digits than its factorization.

77804933820264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4942 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 77804933820264 in words is "seventy-seven trillion, eight hundred four billion, nine hundred thirty-three million, eight hundred twenty thousand, two hundred sixty-four".