880017408 has 114 divisors (see below), whose sum is σ = 2549083394. Its totient is φ = 292552704.

The previous prime is 880017407. The next prime is 880017431. The reversal of 880017408 is 804710088.

It can be written as a sum of positive squares in only one way, i.e., 764411904 + 115605504 = 27648^2 + 10752^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880017407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2359110 + ... + 2359482.

Almost surely, 2^880017408 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 880017408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274541697).

880017408 is an abundant number, since it is smaller than the sum of its proper divisors (1669065986).

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

880017408 is an frugal number, since it uses more digits than its factorization.

880017408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 880017408 is about 29665.0873587118. The cubic root of 880017408 is about 958.2902902373.

The spelling of 880017408 in words is "eight hundred eighty million, seventeen thousand, four hundred eight".