7959803040 has 576 divisors, whose sum is σ = 33480760320. Its totient is φ = 1759242240.

The previous prime is 7959802987. The next prime is 7959803041. The reversal of 7959803040 is 403089597.

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

It is not an unprimeable number, because it can be changed into a prime (7959803041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6561474 + ... + 6562686.

It is an arithmetic number, because the mean of its divisors is an integer number (58126320).

Almost surely, 2^7959803040 is an apocalyptic number.

7959803040 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 7959803040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16740380160).

7959803040 is an abundant number, since it is smaller than the sum of its proper divisors (25520957280).

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

7959803040 is a wasteful number, since it uses less digits than its factorization.

7959803040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7959803040 is about 89217.7282831165. The cubic root of 7959803040 is about 1996.6446272181.

The spelling of 7959803040 in words is "seven billion, nine hundred fifty-nine million, eight hundred three thousand, forty".