7700813120 has 448 divisors, whose sum is σ = 25500787200. Its totient is φ = 2136637440.

The previous prime is 7700813117. The next prime is 7700813129. The reversal of 7700813120 is 213180077.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7700813129) 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, 9288866 + ... + 9289694.

It is an arithmetic number, because the mean of its divisors is an integer number (56921400).

Almost surely, 2^7700813120 is an apocalyptic number.

7700813120 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 7700813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12750393600).

7700813120 is an abundant number, since it is smaller than the sum of its proper divisors (17799974080).

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

7700813120 is a wasteful number, since it uses less digits than its factorization.

7700813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 7700813120 is about 87754.2769328082. The cubic root of 7700813120 is about 1974.7503285307.

Adding to 7700813120 its reverse (213180077), we get a palindrome (7913993197).

The spelling of 7700813120 in words is "seven billion, seven hundred million, eight hundred thirteen thousand, one hundred twenty".