76781813760 has 512 divisors, whose sum is σ = 289339646400. Its totient is φ = 19251855360.

The previous prime is 76781813737. The next prime is 76781813761. The reversal of 76781813760 is 6731818767.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a junction number, because it is equal to n+sod(n) for n = 76781813697 and 76781813706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76781813761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75202050 + ... + 75203070.

Almost surely, 2^76781813760 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 76781813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144669823200).

76781813760 is an abundant number, since it is smaller than the sum of its proper divisors (212557832640).

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

76781813760 is a wasteful number, since it uses less digits than its factorization.

76781813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 76781813760 in words is "seventy-six billion, seven hundred eighty-one million, eight hundred thirteen thousand, seven hundred sixty".