8378763120 has 600 divisors, whose sum is σ = 36045969696. Its totient is φ = 1766209536.

The previous prime is 8378763119. The next prime is 8378763139. The reversal of 8378763120 is 213678738.

8378763120 is a `hidden beast` number, since 8 + 3 + 7 + 8 + 7 + 631 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7665294 + ... + 7666386.

Almost surely, 2^8378763120 is an apocalyptic number.

8378763120 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 8378763120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18022984848).

8378763120 is an abundant number, since it is smaller than the sum of its proper divisors (27667206576).

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

8378763120 is a wasteful number, since it uses less digits than its factorization.

8378763120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 8378763120 is about 91535.5839004701. The cubic root of 8378763120 is about 2031.0781657307.

The spelling of 8378763120 in words is "eight billion, three hundred seventy-eight million, seven hundred sixty-three thousand, one hundred twenty".