880400 has 60 divisors (see below), whose sum is σ = 2214144. Its totient is φ = 336000.

The previous prime is 880367. The next prime is 880409. The reversal of 880400 is 4088.

880400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880409) by changing a digit.

880400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12365 + ... + 12435.

2⁸⁸⁰⁴⁰⁰ is an apocalyptic number.

880400 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 880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107072).

880400 is an abundant number, since it is smaller than the sum of its proper divisors (1333744).

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

880400 is a wasteful number, since it uses less digits than its factorization.

880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 880400 is about 938.2963284592. The cubic root of 880400 is about 95.8429143960.

Adding to 880400 its reverse (4088), we get a palindrome (884488).

It can be divided in two parts, 8 and 80400, that added together give a palindrome (80408).

The spelling of 880400 in words is "eight hundred eighty thousand, four hundred".