880002816 has 288 divisors, whose sum is σ = 3051675648. Its totient is φ = 218296320.

The previous prime is 880002763. The next prime is 880002817. The reversal of 880002816 is 618200088.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880002817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1359805 + ... + 1360451.

It is an arithmetic number, because the mean of its divisors is an integer number (10596096).

Almost surely, 2^880002816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 880002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525837824).

880002816 is an abundant number, since it is smaller than the sum of its proper divisors (2171672832).

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

880002816 is a wasteful number, since it uses less digits than its factorization.

880002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 880002816 is about 29664.8414120150. The cubic root of 880002816 is about 958.2849935810.

The spelling of 880002816 in words is "eight hundred eighty million, two thousand, eight hundred sixteen".