8292404772 has 72 divisors (see below), whose sum is σ = 22398175800. Its totient is φ = 2577650688.

The previous prime is 8292404761. The next prime is 8292404777. The reversal of 8292404772 is 2774042928.

It can be written as a sum of positive squares in 4 ways, for example, as 1669049316 + 6623355456 = 40854^2 + 81384^2 .

It is not an unprimeable number, because it can be changed into a prime (8292404777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4554 + ... + 128862.

It is an arithmetic number, because the mean of its divisors is an integer number (311085775).

Almost surely, 2^8292404772 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 8292404772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11199087900).

8292404772 is an abundant number, since it is smaller than the sum of its proper divisors (14105771028).

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

8292404772 is a wasteful number, since it uses less digits than its factorization.

8292404772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124445 (or 124440 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 8292404772 is about 91062.6420218522. The cubic root of 8292404772 is about 2024.0760727056.

It can be divided in two parts, 829 and 2404772, that added together give a square (2405601 = 1551²).

The spelling of 8292404772 in words is "eight billion, two hundred ninety-two million, four hundred four thousand, seven hundred seventy-two".