802730880 has 384 divisors, whose sum is σ = 3248593920. Its totient is φ = 178827264.

The previous prime is 802730839. The next prime is 802730891. The reversal of 802730880 is 88037208.

802730880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 1733529 + ... + 1733991.

It is an arithmetic number, because the mean of its divisors is an integer number (8459880).

Almost surely, 2^802730880 is an apocalyptic number.

802730880 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 802730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624296960).

802730880 is an abundant number, since it is smaller than the sum of its proper divisors (2445863040).

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

802730880 is a wasteful number, since it uses less digits than its factorization.

802730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 802730880 is about 28332.5057134028. The cubic root of 802730880 is about 929.3728689089.

The spelling of 802730880 in words is "eight hundred two million, seven hundred thirty thousand, eight hundred eighty".