8025292800 has 540 divisors, whose sum is σ = 32959932096. Its totient is φ = 1828454400.

The previous prime is 8025292783. The next prime is 8025292813. The reversal of 8025292800 is 82925208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25804645 + ... + 25804955.

Almost surely, 2^8025292800 is an apocalyptic number.

8025292800 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 8025292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479966048).

8025292800 is an abundant number, since it is smaller than the sum of its proper divisors (24934639296).

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

8025292800 is a wasteful number, since it uses less digits than its factorization.

8025292800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8025292800 is about 89583.9985711734. The cubic root of 8025292800 is about 2002.1055159568.

The spelling of 8025292800 in words is "eight billion, twenty-five million, two hundred ninety-two thousand, eight hundred".