10378800 has 180 divisors, whose sum is σ = 38170920. Its totient is φ = 2678400.

The previous prime is 10378793. The next prime is 10378813. The reversal of 10378800 is 887301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10378800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

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, 334785 + ... + 334815.

Almost surely, 2^10378800 is an apocalyptic number.

10378800 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 10378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085460).

10378800 is an abundant number, since it is smaller than the sum of its proper divisors (27792120).

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

10378800 is a wasteful number, since it uses less digits than its factorization.

10378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10378800 is about 3221.6145020781. The cubic root of 10378800 is about 218.1301582237.

Multiplying 10378800 by its sum of digits (27), we get a square (280227600 = 16740²).

10378800 divided by its sum of digits (27) gives a square (384400 = 620²).

The spelling of 10378800 in words is "ten million, three hundred seventy-eight thousand, eight hundred".