8770900320 has 1152 divisors, whose sum is σ = 39820225536. Its totient is φ = 1773674496.

The previous prime is 8770900319. The next prime is 8770900343. The reversal of 8770900320 is 230090778.

It is a super-2 number, since 2×8770900320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130908927 + ... + 130908993.

It is an arithmetic number, because the mean of its divisors is an integer number (34566168).

Almost surely, 2^8770900320 is an apocalyptic number.

8770900320 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 8770900320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19910112768).

8770900320 is an abundant number, since it is smaller than the sum of its proper divisors (31049325216).

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

8770900320 is a wasteful number, since it uses less digits than its factorization.

8770900320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 8770900320 is about 93653.0849465195. The cubic root of 8770900320 is about 2062.2820344868.

The spelling of 8770900320 in words is "eight billion, seven hundred seventy million, nine hundred thousand, three hundred twenty".