77937361920 has 704 divisors, whose sum is σ = 305615462400. Its totient is φ = 18678251520.

The previous prime is 77937361913. The next prime is 77937361937. The reversal of 77937361920 is 2916373977.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 162708241 + ... + 162708719.

Almost surely, 2^77937361920 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 77937361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152807731200).

77937361920 is an abundant number, since it is smaller than the sum of its proper divisors (227678100480).

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

77937361920 is a wasteful number, since it uses less digits than its factorization.

77937361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 3000564, while the sum is 54.

The spelling of 77937361920 in words is "seventy-seven billion, nine hundred thirty-seven million, three hundred sixty-one thousand, nine hundred twenty".