75479320 has 128 divisors (see below), whose sum is σ = 208863360. Its totient is φ = 23961600.

The previous prime is 75479291. The next prime is 75479323. The reversal of 75479320 is 2397457.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 75479320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75479323) 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, 480682 + ... + 480838.

It is an arithmetic number, because the mean of its divisors is an integer number (1631745).

Almost surely, 2^75479320 is an apocalyptic number.

75479320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75479320 is the 5495-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75479320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104431680).

75479320 is an abundant number, since it is smaller than the sum of its proper divisors (133384040).

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

75479320 is a wasteful number, since it uses less digits than its factorization.

75479320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 75479320 is about 8687.8835167145. The cubic root of 75479320 is about 422.6128125626.

The spelling of 75479320 in words is "seventy-five million, four hundred seventy-nine thousand, three hundred twenty".