8290920000 has 420 divisors, whose sum is σ = 30183000848. Its totient is φ = 2006400000.

The previous prime is 8290919993. The next prime is 8290920019. The reversal of 8290920000 is 290928.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 8290920000.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14519715 + ... + 14520285.

Almost surely, 2^8290920000 is an apocalyptic number.

8290920000 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 8290920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15091500424).

8290920000 is an abundant number, since it is smaller than the sum of its proper divisors (21892080848).

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

8290920000 is a wasteful number, since it uses less digits than its factorization.

8290920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 8290920000 is about 91054.4891809295. The cubic root of 8290920000 is about 2023.9552605107.

The spelling of 8290920000 in words is "eight billion, two hundred ninety million, nine hundred twenty thousand".