7892912160 has 504 divisors, whose sum is σ = 32545793196. Its totient is φ = 1802787840.

The previous prime is 7892912129. The next prime is 7892912177. The reversal of 7892912160 is 612192987.

It can be written as a sum of positive squares in 2 ways, for example, as 7823756304 + 69155856 = 88452^2 + 8316^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5714670 + ... + 5716050.

Almost surely, 2^7892912160 is an apocalyptic number.

7892912160 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 7892912160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272896598).

7892912160 is an abundant number, since it is smaller than the sum of its proper divisors (24652881036).

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

7892912160 is a wasteful number, since it uses less digits than its factorization.

7892912160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 7892912160 is about 88842.0630107158. The cubic root of 7892912160 is about 1991.0358957771.

The spelling of 7892912160 in words is "seven billion, eight hundred ninety-two million, nine hundred twelve thousand, one hundred sixty".