75878320 has 40 divisors (see below), whose sum is σ = 201621024. Its totient is φ = 26015232.

The previous prime is 75878291. The next prime is 75878323. The reversal of 75878320 is 2387857.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (75878323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67189 + ... + 68308.

Almost surely, 2^75878320 is an apocalyptic number.

75878320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75878320 is an abundant number, since it is smaller than the sum of its proper divisors (125742704).

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

75878320 is a wasteful number, since it uses less digits than its factorization.

75878320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135517 (or 135511 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 75878320 is about 8710.8162648514. The cubic root of 75878320 is about 423.3561784573.

The spelling of 75878320 in words is "seventy-five million, eight hundred seventy-eight thousand, three hundred twenty".