902378880 has 480 divisors, whose sum is σ = 3523394160. Its totient is φ = 219967488.

The previous prime is 902378879. The next prime is 902378923. The reversal of 902378880 is 88873209.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 8760909 + ... + 8761011.

Almost surely, 2^902378880 is an apocalyptic number.

902378880 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 902378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761697080).

902378880 is an abundant number, since it is smaller than the sum of its proper divisors (2621015280).

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

902378880 is a wasteful number, since it uses less digits than its factorization.

902378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 902378880 is about 30039.6218351696. The cubic root of 902378880 is about 966.3392967294.

The spelling of 902378880 in words is "nine hundred two million, three hundred seventy-eight thousand, eight hundred eighty".