76116768 has 96 divisors (see below), whose sum is σ = 245943936. Its totient is φ = 20072448.

The previous prime is 76116743. The next prime is 76116779. The reversal of 76116768 is 86761167.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4380 + ... + 13092.

It is an arithmetic number, because the mean of its divisors is an integer number (2561916).

Almost surely, 2^76116768 is an apocalyptic number.

76116768 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 76116768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122971968).

76116768 is an abundant number, since it is smaller than the sum of its proper divisors (169827168).

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

76116768 is a wasteful number, since it uses less digits than its factorization.

76116768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8746 (or 8738 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 76116768 is about 8724.4924207658. The cubic root of 76116768 is about 423.7991810374.

The spelling of 76116768 in words is "seventy-six million, one hundred sixteen thousand, seven hundred sixty-eight".