10380800 has 60 divisors (see below), whose sum is σ = 25750956. Its totient is φ = 4147200.

The previous prime is 10380793. The next prime is 10380803. The reversal of 10380800 is 808301.

It is a super-2 number, since 2×10380800² = 215522017280000, which contains 22 as substring.

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 (10380803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12395 + ... + 13205.

Almost surely, 2^10380800 is an apocalyptic number.

10380800 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 10380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875478).

10380800 is an abundant number, since it is smaller than the sum of its proper divisors (15370156).

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

10380800 is an frugal number, since it uses more digits than its factorization.

10380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10380800 is about 3221.9248904964. The cubic root of 10380800 is about 218.1441685877.

The spelling of 10380800 in words is "ten million, three hundred eighty thousand, eight hundred".