8122954800 has 240 divisors, whose sum is σ = 27322536960. Its totient is φ = 2060160000.

The previous prime is 8122954799. The next prime is 8122954849. The reversal of 8122954800 is 84592218.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2192950 + ... + 2196650.

It is an arithmetic number, because the mean of its divisors is an integer number (113843904).

Almost surely, 2^8122954800 is an apocalyptic number.

8122954800 is a gapful number since it is divisible by the number (80) 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 8122954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13661268480).

8122954800 is an abundant number, since it is smaller than the sum of its proper divisors (19199582160).

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

8122954800 is a wasteful number, since it uses less digits than its factorization.

8122954800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 8122954800 is about 90127.4364441816. The cubic root of 8122954800 is about 2010.1941843532.

The spelling of 8122954800 in words is "eight billion, one hundred twenty-two million, nine hundred fifty-four thousand, eight hundred".