1880920800 has 648 divisors, whose sum is σ = 7780002048. Its totient is φ = 425779200.

The previous prime is 1880920799. The next prime is 1880920807. The reversal of 1880920800 is 80290881.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1880920807) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14810337 + ... + 14810463.

It is an arithmetic number, because the mean of its divisors is an integer number (12006176).

Almost surely, 2^1880920800 is an apocalyptic number.

1880920800 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 1880920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890001024).

1880920800 is an abundant number, since it is smaller than the sum of its proper divisors (5899081248).

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

1880920800 is a wasteful number, since it uses less digits than its factorization.

1880920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1880920800 is about 43369.5838116992. The cubic root of 1880920800 is about 1234.4026243244.

The spelling of 1880920800 in words is "one billion, eight hundred eighty million, nine hundred twenty thousand, eight hundred".