76862697660 has 1152 divisors, whose sum is σ = 314612121600. Its totient is φ = 15211722240.

The previous prime is 76862697647. The next prime is 76862697661. The reversal of 76862697660 is 6679626867.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76862697661) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 972945501 + ... + 972945579.

It is an arithmetic number, because the mean of its divisors is an integer number (273100800).

Almost surely, 2^76862697660 is an apocalyptic number.

76862697660 is a gapful number since it is divisible by the number (70) 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 76862697660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157306060800).

76862697660 is an abundant number, since it is smaller than the sum of its proper divisors (237749423940).

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

76862697660 is a wasteful number, since it uses less digits than its factorization.

76862697660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 76862697660 in words is "seventy-six billion, eight hundred sixty-two million, six hundred ninety-seven thousand, six hundred sixty".