8096870400 has 156 divisors (see below), whose sum is σ = 26771398872. Its totient is φ = 2159083520.

The previous prime is 8096870393. The next prime is 8096870407. The reversal of 8096870400 is 40786908.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8096870393) and next prime (8096870407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8096870407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294022 + ... + 320378.

Almost surely, 2^8096870400 is an apocalyptic number.

8096870400 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 8096870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13385699436).

8096870400 is an abundant number, since it is smaller than the sum of its proper divisors (18674528472).

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

8096870400 is a wasteful number, since it uses less digits than its factorization.

8096870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26394 (or 26367 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 8096870400 is about 89982.6116535856. The cubic root of 8096870400 is about 2008.0401678711.

The spelling of 8096870400 in words is "eight billion, ninety-six million, eight hundred seventy thousand, four hundred".