7676789120 has 512 divisors, whose sum is σ = 25761576960. Its totient is φ = 2108620800.

The previous prime is 7676789117. The next prime is 7676789123. The reversal of 7676789120 is 219876767.

It is an interprime number because it is at equal distance from previous prime (7676789117) and next prime (7676789123).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7676789123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14734460 + ... + 14734980.

It is an arithmetic number, because the mean of its divisors is an integer number (50315580).

Almost surely, 2^7676789120 is an apocalyptic number.

7676789120 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 7676789120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880788480).

7676789120 is an abundant number, since it is smaller than the sum of its proper divisors (18084787840).

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

7676789120 is a wasteful number, since it uses less digits than its factorization.

7676789120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 53.

The square root of 7676789120 is about 87617.2877918508. The cubic root of 7676789120 is about 1972.6946658935.

The spelling of 7676789120 in words is "seven billion, six hundred seventy-six million, seven hundred eighty-nine thousand, one hundred twenty".