902880000 has 720 divisors, whose sum is σ = 3831273600. Its totient is φ = 207360000.

The previous prime is 902879993. The next prime is 902880037. The reversal of 902880000 is 88209.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47519991 + ... + 47520009.

Almost surely, 2^902880000 is an apocalyptic number.

902880000 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 902880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915636800).

902880000 is an abundant number, since it is smaller than the sum of its proper divisors (2928393600).

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

902880000 is a wasteful number, since it uses less digits than its factorization.

902880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 902880000 is about 30047.9616613174. The cubic root of 902880000 is about 966.5181433856.

The spelling of 902880000 in words is "nine hundred two million, eight hundred eighty thousand".