76861020 has 96 divisors (see below), whose sum is σ = 224824320. Its totient is φ = 19595520.

The previous prime is 76861013. The next prime is 76861021. The reversal of 76861020 is 2016867.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76861021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283485 + ... + 283755.

It is an arithmetic number, because the mean of its divisors is an integer number (2341920).

Almost surely, 2^76861020 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 76861020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112412160).

76861020 is an abundant number, since it is smaller than the sum of its proper divisors (147963300).

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

76861020 is a wasteful number, since it uses less digits than its factorization.

76861020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 76861020 is about 8767.0416903309. The cubic root of 76861020 is about 425.1759732635.

Adding to 76861020 its reverse (2016867), we get a palindrome (78877887).

The spelling of 76861020 in words is "seventy-six million, eight hundred sixty-one thousand, twenty".