75981864 has 64 divisors (see below), whose sum is σ = 219248640. Its totient is φ = 21493440.

The previous prime is 75981863. The next prime is 75981869. The reversal of 75981864 is 46818957.

It is not an unprimeable number, because it can be changed into a prime (75981863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15109 + ... + 19499.

It is an arithmetic number, because the mean of its divisors is an integer number (3425760).

Almost surely, 2^75981864 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 75981864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109624320).

75981864 is an abundant number, since it is smaller than the sum of its proper divisors (143266776).

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

75981864 is a wasteful number, since it uses less digits than its factorization.

75981864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4510 (or 4506 counting only the distinct ones).

The product of its digits is 483840, while the sum is 48.

The square root of 75981864 is about 8716.7576540822. The cubic root of 75981864 is about 423.5486623694.

The spelling of 75981864 in words is "seventy-five million, nine hundred eighty-one thousand, eight hundred sixty-four".