8797921920 has 448 divisors, whose sum is σ = 32007630600. Its totient is φ = 2311151616.

The previous prime is 8797921877. The next prime is 8797921921. The reversal of 8797921920 is 291297978.

It can be written as a sum of positive squares in 4 ways, for example, as 8666865216 + 131056704 = 93096^2 + 11448^2 .

It is a super-2 number, since 2×8797921920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8797921921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 50854954 + ... + 50855126.

Almost surely, 2^8797921920 is an apocalyptic number.

8797921920 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 8797921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003815300).

8797921920 is an abundant number, since it is smaller than the sum of its proper divisors (23209708680).

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

8797921920 is a wasteful number, since it uses less digits than its factorization.

8797921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The square root of 8797921920 is about 93797.2383388765. The cubic root of 8797921920 is about 2064.3977059475.

The spelling of 8797921920 in words is "eight billion, seven hundred ninety-seven million, nine hundred twenty-one thousand, nine hundred twenty".