8920791600 has 240 divisors, whose sum is σ = 32722096128. Its totient is φ = 2035077120.

The previous prime is 8920791589. The next prime is 8920791617. The reversal of 8920791600 is 61970298.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8206257 + ... + 8207343.

Almost surely, 2^8920791600 is an apocalyptic number.

8920791600 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 8920791600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16361048064).

8920791600 is an abundant number, since it is smaller than the sum of its proper divisors (23801304528).

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

8920791600 is a wasteful number, since it uses less digits than its factorization.

8920791600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 8920791600 is about 94449.9422974943. The cubic root of 8920791600 is about 2073.9636068921.

The spelling of 8920791600 in words is "eight billion, nine hundred twenty million, seven hundred ninety-one thousand, six hundred".