76696858368 has 1152 divisors, whose sum is σ = 281856153600. Its totient is φ = 20320616448.

The previous prime is 76696858361. The next prime is 76696858373. The reversal of 76696858368 is 86385869667.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×76696858368³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 76696858296 and 76696858305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76696858361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1299946723 + ... + 1299946781.

It is an arithmetic number, because the mean of its divisors is an integer number (244666800).

Almost surely, 2^76696858368 is an apocalyptic number.

76696858368 is a gapful number since it is divisible by the number (78) 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 76696858368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140928076800).

76696858368 is an abundant number, since it is smaller than the sum of its proper divisors (205159295232).

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

76696858368 is a wasteful number, since it uses less digits than its factorization.

76696858368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 76696858368 in words is "seventy-six billion, six hundred ninety-six million, eight hundred fifty-eight thousand, three hundred sixty-eight".