7900918200 has 720 divisors, whose sum is σ = 33270169680. Its totient is φ = 1702010880.

The previous prime is 7900918187. The next prime is 7900918211. The reversal of 7900918200 is 28190097.

It is a happy number.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 40937304 + ... + 40937496.

It is an arithmetic number, because the mean of its divisors is an integer number (46208569).

Almost surely, 2^7900918200 is an apocalyptic number.

7900918200 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 7900918200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635084840).

7900918200 is an abundant number, since it is smaller than the sum of its proper divisors (25369251480).

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

7900918200 is a wasteful number, since it uses less digits than its factorization.

7900918200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 229 counting only the distinct ones).

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

The square root of 7900918200 is about 88887.1093016305. The cubic root of 7900918200 is about 1991.7088593230.

The spelling of 7900918200 in words is "seven billion, nine hundred million, nine hundred eighteen thousand, two hundred".