7129900800 has 864 divisors, whose sum is σ = 29684766720. Its totient is φ = 1672704000.

The previous prime is 7129900783. The next prime is 7129900829. The reversal of 7129900800 is 80099217.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229996785 + ... + 229996815.

Almost surely, 2^7129900800 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 7129900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842383360).

7129900800 is an abundant number, since it is smaller than the sum of its proper divisors (22554865920).

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

7129900800 is a wasteful number, since it uses less digits than its factorization.

7129900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 7129900800 is about 84438.7399242788. The cubic root of 7129900800 is about 1924.6916512913.

The spelling of 7129900800 in words is "seven billion, one hundred twenty-nine million, nine hundred thousand, eight hundred".