75979020 has 144 divisors (see below), whose sum is σ = 236113920. Its totient is φ = 18240768.

The previous prime is 75979003. The next prime is 75979031. The reversal of 75979020 is 2097957.

It is a super-2 number, since 2×75979020² = 11545622960320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 75979020.

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 47 ways as a sum of consecutive naturals, for example, 598197 + ... + 598323.

It is an arithmetic number, because the mean of its divisors is an integer number (1639680).

Almost surely, 2^75979020 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 75979020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118056960).

75979020 is an abundant number, since it is smaller than the sum of its proper divisors (160134900).

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

75979020 is a wasteful number, since it uses less digits than its factorization.

75979020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 75979020 is about 8716.5945185032. The cubic root of 75979020 is about 423.5433778301.

The spelling of 75979020 in words is "seventy-five million, nine hundred seventy-nine thousand, twenty".