8004072400 has 60 divisors (see below), whose sum is σ = 19239692812. Its totient is φ = 3199979520.

The previous prime is 8004072383. The next prime is 8004072407. The reversal of 8004072400 is 42704008.

It can be written as a sum of positive squares in 6 ways, for example, as 70963776 + 7933108624 = 8424^2 + 89068^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004072407) 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 11 ways as a sum of consecutive naturals, for example, 1033342 + ... + 1041058.

Almost surely, 2^8004072400 is an apocalyptic number.

8004072400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8004072400 is an abundant number, since it is smaller than the sum of its proper divisors (11235620412).

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

8004072400 is a wasteful number, since it uses less digits than its factorization.

8004072400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10328 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 8004072400 is about 89465.4816116249. The cubic root of 8004072400 is about 2000.3393090981.

Adding to 8004072400 its reverse (42704008), we get a palindrome (8046776408).

The spelling of 8004072400 in words is "eight billion, four million, seventy-two thousand, four hundred".