880336512 has 384 divisors, whose sum is σ = 2994001920. Its totient is φ = 255052800.

The previous prime is 880336511. The next prime is 880336531. The reversal of 880336512 is 215633088.

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

It is a super-2 number, since 2×880336512² = 1549984748720652288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (880336511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10606423 + ... + 10606505.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2^880336512 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 880336512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497000960).

880336512 is an abundant number, since it is smaller than the sum of its proper divisors (2113665408).

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

880336512 is a wasteful number, since it uses less digits than its factorization.

880336512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 880336512 is about 29670.4653148548. The cubic root of 880336512 is about 958.4061051095.

It can be divided in two parts, 8803365 and 12, that multiplied together give a triangular number (105640380 = T₁₄₅₃₅).

The spelling of 880336512 in words is "eight hundred eighty million, three hundred thirty-six thousand, five hundred twelve".