7934865120 has 576 divisors, whose sum is σ = 35091463680. Its totient is φ = 1585557504.

The previous prime is 7934865089. The next prime is 7934865173. The reversal of 7934865120 is 215684397.

7934865120 is a `hidden beast` number, since 7 + 93 + 48 + 6 + 512 + 0 = 666.

7934865120 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7934865120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

7934865120 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2488167 + ... + 2491353.

It is an arithmetic number, because the mean of its divisors is an integer number (60922680).

It is a 2-persistent number, because it is pandigital, and so is 2⋅7934865120 = 15869730240, but 3⋅7934865120 = 23804595360 is not.

Almost surely, 2^7934865120 is an apocalyptic number.

7934865120 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 7934865120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17545731840).

7934865120 is an abundant number, since it is smaller than the sum of its proper divisors (27156598560).

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

7934865120 is a wasteful number, since it uses less digits than its factorization.

7934865120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3247 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7934865120 is about 89077.8598755044. The cubic root of 7934865120 is about 1994.5572952516.

The spelling of 7934865120 in words is "seven billion, nine hundred thirty-four million, eight hundred sixty-five thousand, one hundred twenty".