7997794560 has 648 divisors, whose sum is σ = 32964160320. Its totient is φ = 1753251840.

The previous prime is 7997794529. The next prime is 7997794579. The reversal of 7997794560 is 654977997.

It is a super-3 number, since 3×7997794560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135555811 + ... + 135555869.

Almost surely, 2^7997794560 is an apocalyptic number.

7997794560 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 7997794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16482080160).

7997794560 is an abundant number, since it is smaller than the sum of its proper divisors (24966365760).

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

7997794560 is a wasteful number, since it uses less digits than its factorization.

7997794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The square root of 7997794560 is about 89430.3894657739. The cubic root of 7997794560 is about 1999.8161964420.

The spelling of 7997794560 in words is "seven billion, nine hundred ninety-seven million, seven hundred ninety-four thousand, five hundred sixty".