7847292960 has 480 divisors, whose sum is σ = 30490048512. Its totient is φ = 1888634880.

The previous prime is 7847292941. The next prime is 7847292979. The reversal of 7847292960 is 692927487.

It is an interprime number because it is at equal distance from previous prime (7847292941) and next prime (7847292979).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 7847292897 and 7847292906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7918065 + ... + 7919055.

Almost surely, 2^7847292960 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 7847292960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245024256).

7847292960 is an abundant number, since it is smaller than the sum of its proper divisors (22642755552).

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

7847292960 is a wasteful number, since it uses less digits than its factorization.

7847292960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7847292960 is about 88584.9477055781. The cubic root of 7847292960 is about 1987.1925733112.

The spelling of 7847292960 in words is "seven billion, eight hundred forty-seven million, two hundred ninety-two thousand, nine hundred sixty".