77331868992 has 840 divisors, whose sum is σ = 284866181600. Its totient is φ = 20739898368.

The previous prime is 77331868967. The next prime is 77331868993. The reversal of 77331868992 is 29986813377.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77331868993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 709466634 + ... + 709466742.

Almost surely, 2^77331868992 is an apocalyptic number.

77331868992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77331868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142433090800).

77331868992 is an abundant number, since it is smaller than the sum of its proper divisors (207534312608).

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

77331868992 is an equidigital number, since it uses as much as digits as its factorization.

77331868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 140 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 63.

The spelling of 77331868992 in words is "seventy-seven billion, three hundred thirty-one million, eight hundred sixty-eight thousand, nine hundred ninety-two".