75379680 has 96 divisors (see below), whose sum is σ = 263844000. Its totient is φ = 20100096.

The previous prime is 75379673. The next prime is 75379691. The reversal of 75379680 is 8697357.

It is a happy number.

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 (45).

It is a congruent number.

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, 4405 + ... + 13044.

It is an arithmetic number, because the mean of its divisors is an integer number (2748375).

Almost surely, 2^75379680 is an apocalyptic number.

It is an amenable number.

75379680 is an abundant number, since it is smaller than the sum of its proper divisors (188464320).

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

75379680 is a wasteful number, since it uses less digits than its factorization.

75379680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17473 (or 17459 counting only the distinct ones).

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

The square root of 75379680 is about 8682.1471998579. The cubic root of 75379680 is about 422.4267674153.

The spelling of 75379680 in words is "seventy-five million, three hundred seventy-nine thousand, six hundred eighty".