7112296800 has 576 divisors, whose sum is σ = 31138007040. Its totient is φ = 1529487360.

The previous prime is 7112296757. The next prime is 7112296813. The reversal of 7112296800 is 86922117.

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, 2569017 + ... + 2571783.

It is an arithmetic number, because the mean of its divisors is an integer number (54059040).

Almost surely, 2^7112296800 is an apocalyptic number.

7112296800 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 7112296800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15569003520).

7112296800 is an abundant number, since it is smaller than the sum of its proper divisors (24025710240).

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

7112296800 is a wasteful number, since it uses less digits than its factorization.

7112296800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 7112296800 is about 84334.4342484136. The cubic root of 7112296800 is about 1923.1062998425.

The spelling of 7112296800 in words is "seven billion, one hundred twelve million, two hundred ninety-six thousand, eight hundred".