880247760 has 480 divisors, whose sum is σ = 3471801600. Its totient is φ = 184246272.

The previous prime is 880247749. The next prime is 880247761. The reversal of 880247760 is 67742088.

880247760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×880247760² = 1549672237970035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880247761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23790462 + ... + 23790498.

It is an arithmetic number, because the mean of its divisors is an integer number (7232920).

Almost surely, 2^880247760 is an apocalyptic number.

880247760 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 880247760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735900800).

880247760 is an abundant number, since it is smaller than the sum of its proper divisors (2591553840).

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

880247760 is a wasteful number, since it uses less digits than its factorization.

880247760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 880247760 is about 29668.9696484391. The cubic root of 880247760 is about 958.3738964725.

The spelling of 880247760 in words is "eight hundred eighty million, two hundred forty-seven thousand, seven hundred sixty".