8008013400 has 192 divisors, whose sum is σ = 25528366080. Its totient is φ = 2075366400.

The previous prime is 8008013393. The next prime is 8008013413. The reversal of 8008013400 is 43108008.

It is a super-2 number, since 2×8008013400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9027757 + ... + 9028643.

It is an arithmetic number, because the mean of its divisors is an integer number (132960240).

Almost surely, 2^8008013400 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 8008013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764183040).

8008013400 is an abundant number, since it is smaller than the sum of its proper divisors (17520352680).

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

8008013400 is a wasteful number, since it uses less digits than its factorization.

8008013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8008013400 is about 89487.5041556082. The cubic root of 8008013400 is about 2000.6675604900.

The spelling of 8008013400 in words is "eight billion, eight million, thirteen thousand, four hundred".