8295097920 has 224 divisors, whose sum is σ = 27004060800. Its totient is φ = 2156642304.

The previous prime is 8295097907. The next prime is 8295097927. The reversal of 8295097920 is 297905928.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8295097927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7759146 + ... + 7760214.

Almost surely, 2^8295097920 is an apocalyptic number.

8295097920 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 8295097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13502030400).

8295097920 is an abundant number, since it is smaller than the sum of its proper divisors (18708962880).

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

8295097920 is a wasteful number, since it uses less digits than its factorization.

8295097920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 51.

The square root of 8295097920 is about 91077.4281586827. The cubic root of 8295097920 is about 2024.2951706455.

The spelling of 8295097920 in words is "eight billion, two hundred ninety-five million, ninety-seven thousand, nine hundred twenty".