8400760000 has 70 divisors (see below), whose sum is σ = 20831253740. Its totient is φ = 3360288000.

The previous prime is 8400759989. The next prime is 8400760003. The reversal of 8400760000 is 670048.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (8400760003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 65010 + ... + 145009.

Almost surely, 2^8400760000 is an apocalyptic number.

8400760000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8400760000 is an abundant number, since it is smaller than the sum of its proper divisors (12430493740).

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

8400760000 is an equidigital number, since it uses as much as digits as its factorization.

8400760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210051 (or 210026 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 8400760000 is about 91655.6599452538. The cubic root of 8400760000 is about 2032.8540182278.

The spelling of 8400760000 in words is "eight billion, four hundred million, seven hundred sixty thousand".