8372782080 has 440 divisors, whose sum is σ = 32332070232. Its totient is φ = 2059665408.

The previous prime is 8372782073. The next prime is 8372782091. The reversal of 8372782080 is 802872738.

8372782080 is a `hidden beast` number, since 8 + 372 + 78 + 208 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 90326016 + 8282456064 = 9504^2 + 91008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5390584 + ... + 5392136.

Almost surely, 2^8372782080 is an apocalyptic number.

8372782080 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 8372782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16166035116).

8372782080 is an abundant number, since it is smaller than the sum of its proper divisors (23959288152).

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

8372782080 is a wasteful number, since it uses less digits than its factorization.

8372782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 8372782080 is about 91502.9074947895. The cubic root of 8372782080 is about 2030.5947669575.

The spelling of 8372782080 in words is "eight billion, three hundred seventy-two million, seven hundred eighty-two thousand, eighty".