7227998400 has 672 divisors, whose sum is σ = 29026713600. Its totient is φ = 1538887680.

The previous prime is 7227998399. The next prime is 7227998413. The reversal of 7227998400 is 48997227.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7227998400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36321501 + ... + 36321699.

Almost surely, 2^7227998400 is an apocalyptic number.

7227998400 is a gapful number since it is divisible by the number (70) 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 7227998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14513356800).

7227998400 is an abundant number, since it is smaller than the sum of its proper divisors (21798715200).

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

7227998400 is a wasteful number, since it uses less digits than its factorization.

7227998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 7227998400 is about 85017.6358175173. The cubic root of 7227998400 is about 1933.4785093784.

The spelling of 7227998400 in words is "seven billion, two hundred twenty-seven million, nine hundred ninety-eight thousand, four hundred".