9126280800 has 576 divisors, whose sum is σ = 40632399360. Its totient is φ = 1925130240.

The previous prime is 9126280783. The next prime is 9126280817. The reversal of 9126280800 is 80826219.

It is an interprime number because it is at equal distance from previous prime (9126280783) and next prime (9126280817).

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, 1963279 + ... + 1967921.

It is an arithmetic number, because the mean of its divisors is an integer number (70542360).

Almost surely, 2^9126280800 is an apocalyptic number.

9126280800 is a gapful number since it is divisible by the number (90) 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 9126280800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20316199680).

9126280800 is an abundant number, since it is smaller than the sum of its proper divisors (31506118560).

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

9126280800 is a wasteful number, since it uses less digits than its factorization.

9126280800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4692 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9126280800 is about 95531.5696510845. The cubic root of 9126280800 is about 2089.7673634366.

The spelling of 9126280800 in words is "nine billion, one hundred twenty-six million, two hundred eighty thousand, eight hundred".