77251734912 has 512 divisors, whose sum is σ = 240642316800. Its totient is φ = 21737963520.

The previous prime is 77251734893. The next prime is 77251734943. The reversal of 77251734912 is 21943715277.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 473936943 + ... + 473937105.

It is an arithmetic number, because the mean of its divisors is an integer number (470004525).

Almost surely, 2^77251734912 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 77251734912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120321158400).

77251734912 is an abundant number, since it is smaller than the sum of its proper divisors (163390581888).

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

77251734912 is a wasteful number, since it uses less digits than its factorization.

77251734912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 740880, while the sum is 48.

The spelling of 77251734912 in words is "seventy-seven billion, two hundred fifty-one million, seven hundred thirty-four thousand, nine hundred twelve".