75895260 has 96 divisors (see below), whose sum is σ = 244823040. Its totient is φ = 17207808.

The previous prime is 75895249. The next prime is 75895277. The reversal of 75895260 is 6259857.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56881 + ... + 58199.

It is an arithmetic number, because the mean of its divisors is an integer number (2550240).

Almost surely, 2^75895260 is an apocalyptic number.

75895260 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75895260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122411520).

75895260 is an abundant number, since it is smaller than the sum of its proper divisors (168927780).

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

75895260 is a wasteful number, since it uses less digits than its factorization.

75895260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 75895260 is about 8711.7885649274. The cubic root of 75895260 is about 423.3876811756.

The spelling of 75895260 in words is "seventy-five million, eight hundred ninety-five thousand, two hundred sixty".