7187980800 has 1440 divisors, whose sum is σ = 34012573056. Its totient is φ = 1297612800.

The previous prime is 7187980747. The next prime is 7187980823. The reversal of 7187980800 is 80897817.

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 7187980800.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 422822392 + ... + 422822408.

Almost surely, 2^7187980800 is an apocalyptic number.

7187980800 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 7187980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17006286528).

7187980800 is an abundant number, since it is smaller than the sum of its proper divisors (26824592256).

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

7187980800 is a wasteful number, since it uses less digits than its factorization.

7187980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 48.

The square root of 7187980800 is about 84781.9603453471. The cubic root of 7187980800 is about 1929.9036883579.

The spelling of 7187980800 in words is "seven billion, one hundred eighty-seven million, nine hundred eighty thousand, eight hundred".