77253584736 has 96 divisors (see below), whose sum is σ = 213961305600. Its totient is φ = 24339018240.

The previous prime is 77253584701. The next prime is 77253584741. The reversal of 77253584736 is 63748535277.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 737010 + ... + 835278.

It is an arithmetic number, because the mean of its divisors is an integer number (2228763600).

Almost surely, 2^77253584736 is an apocalyptic number.

77253584736 is a gapful number since it is divisible by the number (76) 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 77253584736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106980652800).

77253584736 is an abundant number, since it is smaller than the sum of its proper divisors (136707720864).

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

77253584736 is a wasteful number, since it uses less digits than its factorization.

77253584736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98732 (or 98724 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 57.

The spelling of 77253584736 in words is "seventy-seven billion, two hundred fifty-three million, five hundred eighty-four thousand, seven hundred thirty-six".