76201968 has 80 divisors (see below), whose sum is σ = 205986816. Its totient is φ = 24245760.

The previous prime is 76201963. The next prime is 76201987. The reversal of 76201968 is 86910267.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76201963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123196 + ... + 123812.

Almost surely, 2^76201968 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 76201968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102993408).

76201968 is an abundant number, since it is smaller than the sum of its proper divisors (129784848).

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

76201968 is a wasteful number, since it uses less digits than its factorization.

76201968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 76201968 is about 8729.3738607073. The cubic root of 76201968 is about 423.9572461934.

The spelling of 76201968 in words is "seventy-six million, two hundred one thousand, nine hundred sixty-eight".