880414080 has 256 divisors, whose sum is σ = 3454617600. Its totient is φ = 185720832.

The previous prime is 880414063. The next prime is 880414109. The reversal of 880414080 is 80414088.

It is a super-3 number, since 3×880414080³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172201 + ... + 177239.

It is an arithmetic number, because the mean of its divisors is an integer number (13494600).

Almost surely, 2^880414080 is an apocalyptic number.

880414080 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 880414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727308800).

880414080 is an abundant number, since it is smaller than the sum of its proper divisors (2574203520).

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

880414080 is a wasteful number, since it uses less digits than its factorization.

880414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5069 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 880414080 is about 29671.7724445305. The cubic root of 880414080 is about 958.4342532325.

The spelling of 880414080 in words is "eight hundred eighty million, four hundred fourteen thousand, eighty".