75642480 has 120 divisors (see below), whose sum is σ = 262304640. Its totient is φ = 19514880.

The previous prime is 75642433. The next prime is 75642493. The reversal of 75642480 is 8424657.

75642480 is a `hidden beast` number, since 7 + 5 + 642 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 20626 + ... + 24014.

It is an arithmetic number, because the mean of its divisors is an integer number (2185872).

Almost surely, 2^75642480 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 75642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131152320).

75642480 is an abundant number, since it is smaller than the sum of its proper divisors (186662160).

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

75642480 is a wasteful number, since it uses less digits than its factorization.

75642480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3439 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 75642480 is about 8697.2685367304. The cubic root of 75642480 is about 422.9171073089.

The spelling of 75642480 in words is "seventy-five million, six hundred forty-two thousand, four hundred eighty".