8380040760 has 576 divisors, whose sum is σ = 35223400800. Its totient is φ = 1766209536.

The previous prime is 8380040701. The next prime is 8380040761. The reversal of 8380040760 is 670400838.

It is a super-2 number, since 2×8380040760² (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 not an unprimeable number, because it can be changed into a prime (8380040761) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 8943012 + ... + 8943948.

Almost surely, 2^8380040760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8380040760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611700400).

8380040760 is an abundant number, since it is smaller than the sum of its proper divisors (26843360040).

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

8380040760 is a wasteful number, since it uses less digits than its factorization.

8380040760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8380040760 is about 91542.5625597186. The cubic root of 8380040760 is about 2031.1813971497.

The spelling of 8380040760 in words is "eight billion, three hundred eighty million, forty thousand, seven hundred sixty".