8780601600 has 162 divisors, whose sum is σ = 31392838386. Its totient is φ = 2341478400.

The previous prime is 8780601589. The next prime is 8780601611. The reversal of 8780601600 is 61060878.

It is an interprime number because it is at equal distance from previous prime (8780601589) and next prime (8780601611).

It can be written as a sum of positive squares in 3 ways, for example, as 10653696 + 8769947904 = 3264^2 + 93648^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18621 + ... + 133820.

It is an arithmetic number, because the mean of its divisors is an integer number (193782953).

Almost surely, 2^8780601600 is an apocalyptic number.

8780601600 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 8780601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696419193).

8780601600 is an abundant number, since it is smaller than the sum of its proper divisors (22612236786).

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

8780601600 is a wasteful number, since it uses less digits than its factorization.

8780601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152473 (or 152451 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8780601600 is about 93704.8643347825. The cubic root of 8780601600 is about 2063.0421010296.

The spelling of 8780601600 in words is "eight billion, seven hundred eighty million, six hundred one thousand, six hundred".