7959729120 has 384 divisors, whose sum is σ = 30504563712. Its totient is φ = 1703116800.

The previous prime is 7959729101. The next prime is 7959729187. The reversal of 7959729120 is 219279597.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18906510 + ... + 18906930.

It is an arithmetic number, because the mean of its divisors is an integer number (79438968).

Almost surely, 2^7959729120 is an apocalyptic number.

7959729120 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 7959729120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15252281856).

7959729120 is an abundant number, since it is smaller than the sum of its proper divisors (22544834592).

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

7959729120 is a wasteful number, since it uses less digits than its factorization.

7959729120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 51.

The square root of 7959729120 is about 89217.3140147135. The cubic root of 7959729120 is about 1996.6384464778.

The spelling of 7959729120 in words is "seven billion, nine hundred fifty-nine million, seven hundred twenty-nine thousand, one hundred twenty".