7953798240 has 672 divisors, whose sum is σ = 30771709920. Its totient is φ = 1934917632.

The previous prime is 7953798197. The next prime is 7953798257. The reversal of 7953798240 is 428973597.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 81997872 + ... + 81997968.

It is an arithmetic number, because the mean of its divisors is an integer number (45791235).

Almost surely, 2^7953798240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7953798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385854960).

7953798240 is an abundant number, since it is smaller than the sum of its proper divisors (22817911680).

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

7953798240 is a wasteful number, since it uses less digits than its factorization.

7953798240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7953798240 is about 89184.0694294671. The cubic root of 7953798240 is about 1996.1424176462.

The spelling of 7953798240 in words is "seven billion, nine hundred fifty-three million, seven hundred ninety-eight thousand, two hundred forty".