76789020 has 144 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 15945600.

The previous prime is 76789001. The next prime is 76789039. The reversal of 76789020 is 2098767.

It is an interprime number because it is at equal distance from previous prime (76789001) and next prime (76789039).

It is a self number, because there is not a number n which added to its sum of digits gives 76789020.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50065 + ... + 51575.

It is an arithmetic number, because the mean of its divisors is an integer number (1876896).

Almost surely, 2^76789020 is an apocalyptic number.

76789020 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 76789020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

76789020 is an abundant number, since it is smaller than the sum of its proper divisors (193484004).

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

76789020 is a wasteful number, since it uses less digits than its factorization.

76789020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 76789020 is about 8762.9344400149. The cubic root of 76789020 is about 425.0431697786.

The spelling of 76789020 in words is "seventy-six million, seven hundred eighty-nine thousand, twenty".