7792958160 has 400 divisors, whose sum is σ = 29542275840. Its totient is φ = 1892367360.

The previous prime is 7792958153. The next prime is 7792958207. The reversal of 7792958160 is 618592977.

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 = 7792958097 and 7792958106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6654375 + ... + 6655545.

Almost surely, 2^7792958160 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 7792958160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14771137920).

7792958160 is an abundant number, since it is smaller than the sum of its proper divisors (21749317680).

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

7792958160 is a wasteful number, since it uses less digits than its factorization.

7792958160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The square root of 7792958160 is about 88277.7330927794. The cubic root of 7792958160 is about 1982.5954942665.

The spelling of 7792958160 in words is "seven billion, seven hundred ninety-two million, nine hundred fifty-eight thousand, one hundred sixty".