77719745376 has 384 divisors, whose sum is σ = 295410447360. Its totient is φ = 19291447296.

The previous prime is 77719745339. The next prime is 77719745419. The reversal of 77719745376 is 67354791777.

77719745376 is a `hidden beast` number, since 7 + 7 + 7 + 1 + 97 + 4 + 537 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1307535 + ... + 1365681.

It is an arithmetic number, because the mean of its divisors is an integer number (769298040).

Almost surely, 2^77719745376 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 77719745376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147705223680).

77719745376 is an abundant number, since it is smaller than the sum of its proper divisors (217690701984).

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

77719745376 is a wasteful number, since it uses less digits than its factorization.

77719745376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58203 (or 58189 counting only the distinct ones).

The product of its digits is 54454680, while the sum is 63.

The spelling of 77719745376 in words is "seventy-seven billion, seven hundred nineteen million, seven hundred forty-five thousand, three hundred seventy-six".