75840480 has 72 divisors (see below), whose sum is σ = 258810552. Its totient is φ = 20223744.

The previous prime is 75840467. The next prime is 75840551. The reversal of 75840480 is 8404857.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24894 + ... + 27773.

It is an arithmetic number, because the mean of its divisors is an integer number (3594591).

Almost surely, 2^75840480 is an apocalyptic number.

It is an amenable number.

75840480 is an abundant number, since it is smaller than the sum of its proper divisors (182970072).

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

75840480 is a wasteful number, since it uses less digits than its factorization.

75840480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52688 (or 52677 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 75840480 is about 8708.6439817000. The cubic root of 75840480 is about 423.2857918105.

The spelling of 75840480 in words is "seventy-five million, eight hundred forty thousand, four hundred eighty".