7226830800 has 480 divisors, whose sum is σ = 29700281600. Its totient is φ = 1634826240.

The previous prime is 7226830789. The next prime is 7226830811. The reversal of 7226830800 is 80386227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7226830789) and next prime (7226830811).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8239962 + ... + 8240838.

Almost surely, 2^7226830800 is an apocalyptic number.

7226830800 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 7226830800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14850140800).

7226830800 is an abundant number, since it is smaller than the sum of its proper divisors (22473450800).

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

7226830800 is a wasteful number, since it uses less digits than its factorization.

7226830800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7226830800 is about 85010.7687296145. The cubic root of 7226830800 is about 1933.3743933676.

The spelling of 7226830800 in words is "seven billion, two hundred twenty-six million, eight hundred thirty thousand, eight hundred".