1880870400 has 360 divisors, whose sum is σ = 6975591480. Its totient is φ = 483409920.

The previous prime is 1880870377. The next prime is 1880870417. The reversal of 1880870400 is 40780881.

1880870400 is a `hidden beast` number, since 188 + 0 + 8 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3340519 + ... + 3341081.

It is an arithmetic number, because the mean of its divisors is an integer number (19376643).

Almost surely, 2^1880870400 is an apocalyptic number.

1880870400 is a gapful number since it is divisible by the number (10) 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 1880870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487795740).

1880870400 is an abundant number, since it is smaller than the sum of its proper divisors (5094721080).

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

1880870400 is a wasteful number, since it uses less digits than its factorization.

1880870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 602 counting only the distinct ones).

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

The square root of 1880870400 is about 43369.0027554243. The cubic root of 1880870400 is about 1234.3915987940.

The spelling of 1880870400 in words is "one billion, eight hundred eighty million, eight hundred seventy thousand, four hundred".