76015968 has 192 divisors, whose sum is σ = 243855360. Its totient is φ = 20275200.

The previous prime is 76015949. The next prime is 76015969. The reversal of 76015968 is 86951067.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76015969) 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, 854068 + ... + 854156.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^76015968 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 76015968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121927680).

76015968 is an abundant number, since it is smaller than the sum of its proper divisors (167839392).

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

76015968 is a wasteful number, since it uses less digits than its factorization.

76015968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 76015968 is about 8718.7136665910. The cubic root of 76015968 is about 423.6120219757.

The spelling of 76015968 in words is "seventy-six million, fifteen thousand, nine hundred sixty-eight".