8792434560 has 768 divisors, whose sum is σ = 35838720000. Its totient is φ = 1831624704.

The previous prime is 8792434559. The next prime is 8792434577. The reversal of 8792434560 is 654342978.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111296601 + ... + 111296679.

It is an arithmetic number, because the mean of its divisors is an integer number (46665000).

Almost surely, 2^8792434560 is an apocalyptic number.

8792434560 is a gapful number since it is divisible by the number (80) 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 8792434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17919360000).

8792434560 is an abundant number, since it is smaller than the sum of its proper divisors (27046285440).

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

8792434560 is a wasteful number, since it uses less digits than its factorization.

8792434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 8792434560 is about 93767.9825953401. The cubic root of 8792434560 is about 2063.9684208858.

The spelling of 8792434560 in words is "eight billion, seven hundred ninety-two million, four hundred thirty-four thousand, five hundred sixty".