8380800 has 192 divisors, whose sum is σ = 30987600. Its totient is φ = 2211840.

The previous prime is 8380789. The next prime is 8380807. The reversal of 8380800 is 80838.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8380807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86352 + ... + 86448.

Almost surely, 2^8380800 is an apocalyptic number.

8380800 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 8380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15493800).

8380800 is an abundant number, since it is smaller than the sum of its proper divisors (22606800).

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

8380800 is a wasteful number, since it uses less digits than its factorization.

8380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8380800 is about 2894.9611396356. The cubic root of 8380800 is about 203.1242737647.

It can be divided in two parts, 8380 and 800, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 8380800 in words is "eight million, three hundred eighty thousand, eight hundred".