75380976 has 160 divisors (see below), whose sum is σ = 244627200. Its totient is φ = 22014720.

The previous prime is 75380971. The next prime is 75380983. The reversal of 75380976 is 67908357.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75380971) 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, 137535 + ... + 138081.

It is an arithmetic number, because the mean of its divisors is an integer number (1528920).

Almost surely, 2^75380976 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 75380976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122313600).

75380976 is an abundant number, since it is smaller than the sum of its proper divisors (169246224).

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

75380976 is a wasteful number, since it uses less digits than its factorization.

75380976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 75380976 is about 8682.2218354520. The cubic root of 75380976 is about 422.4291883239.

The spelling of 75380976 in words is "seventy-five million, three hundred eighty thousand, nine hundred seventy-six".