7210828800 has 792 divisors, whose sum is σ = 31360957056. Its totient is φ = 1545338880.

The previous prime is 7210828763. The next prime is 7210828813. The reversal of 7210828800 is 88280127.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 27417469 + ... + 27417731.

It is an arithmetic number, because the mean of its divisors is an integer number (39597168).

Almost surely, 2^7210828800 is an apocalyptic number.

7210828800 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 7210828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15680478528).

7210828800 is an abundant number, since it is smaller than the sum of its proper divisors (24150128256).

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

7210828800 is a wasteful number, since it uses less digits than its factorization.

7210828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 7210828800 is about 84916.5990840425. The cubic root of 7210828800 is about 1931.9463483166.

The spelling of 7210828800 in words is "seven billion, two hundred ten million, eight hundred twenty-eight thousand, eight hundred".