76401812736 has 144 divisors (see below), whose sum is σ = 228724581120. Its totient is φ = 25467084288.

The previous prime is 76401812723. The next prime is 76401812737. The reversal of 76401812736 is 63721810467.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 76401812691 and 76401812700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76401812737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491641 + ... + 628103.

Almost surely, 2^76401812736 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 76401812736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114362290560).

76401812736 is an abundant number, since it is smaller than the sum of its proper divisors (152322768384).

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

76401812736 is an frugal number, since it uses more digits than its factorization.

76401812736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136500 (or 136468 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 76401812736 in words is "seventy-six billion, four hundred one million, eight hundred twelve thousand, seven hundred thirty-six".