8007050400 has 72 divisors (see below), whose sum is σ = 26062956864. Its totient is φ = 2135212800.

The previous prime is 8007050399. The next prime is 8007050411. The reversal of 8007050400 is 40507008.

It is a super-2 number, since 2×8007050400² (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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1665736 + ... + 1670535.

It is an arithmetic number, because the mean of its divisors is an integer number (361985512).

Almost surely, 2^8007050400 is an apocalyptic number.

8007050400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8007050400 is an abundant number, since it is smaller than the sum of its proper divisors (18055906464).

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

8007050400 is a wasteful number, since it uses less digits than its factorization.

8007050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336294 (or 3336281 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 8007050400 is about 89482.1233543326. The cubic root of 8007050400 is about 2000.5873608201.

Adding to 8007050400 its reverse (40507008), we get a palindrome (8047557408).

The spelling of 8007050400 in words is "eight billion, seven million, fifty thousand, four hundred".