8379761040 has 400 divisors, whose sum is σ = 35221709952. Its totient is φ = 1802539008.

The previous prime is 8379761021. The next prime is 8379761041. The reversal of 8379761040 is 401679738.

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

It is not an unprimeable number, because it can be changed into a prime (8379761041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 765687 + ... + 776553.

Almost surely, 2^8379761040 is an apocalyptic number.

8379761040 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 8379761040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17610854976).

8379761040 is an abundant number, since it is smaller than the sum of its proper divisors (26841948912).

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

8379761040 is a wasteful number, since it uses less digits than its factorization.

8379761040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10916 (or 10901 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 8379761040 is about 91541.0347330638. The cubic root of 8379761040 is about 2031.1587970853.

The spelling of 8379761040 in words is "eight billion, three hundred seventy-nine million, seven hundred sixty-one thousand, forty".