83975880 has 128 divisors (see below), whose sum is σ = 265680000. Its totient is φ = 21202944.

The previous prime is 83975873. The next prime is 83975893. The reversal of 83975880 is 8857938.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 205116 + ... + 205524.

It is an arithmetic number, because the mean of its divisors is an integer number (2075625).

Almost surely, 2^83975880 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 83975880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132840000).

83975880 is an abundant number, since it is smaller than the sum of its proper divisors (181704120).

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

83975880 is a wasteful number, since it uses less digits than its factorization.

83975880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 507 counting only the distinct ones).

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

The square root of 83975880 is about 9163.8354415605. The cubic root of 83975880 is about 437.9099917213.

The spelling of 83975880 in words is "eighty-three million, nine hundred seventy-five thousand, eight hundred eighty".