75801960 has 128 divisors (see below), whose sum is σ = 272160000. Its totient is φ = 18655488.

The previous prime is 75801949. The next prime is 75801967. The reversal of 75801960 is 6910857.

75801960 is a `hidden beast` number, since 7 + 580 + 19 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75801967) 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, 11341 + ... + 16739.

It is an arithmetic number, because the mean of its divisors is an integer number (2126250).

Almost surely, 2^75801960 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 75801960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080000).

75801960 is an abundant number, since it is smaller than the sum of its proper divisors (196358040).

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

75801960 is a wasteful number, since it uses less digits than its factorization.

75801960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 75801960 is about 8706.4321050589. The cubic root of 75801960 is about 423.2141162359.

The spelling of 75801960 in words is "seventy-five million, eight hundred one thousand, nine hundred sixty".