1078400 has 48 divisors (see below), whose sum is σ = 2671890. Its totient is φ = 430080.

The previous prime is 1078393. The next prime is 1078403. The reversal of 1078400 is 48701.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 678976 + 399424 = 824^2 + 632^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

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 (1078403) 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, 3032 + ... + 3368.

2^1078400 is an apocalyptic number.

1078400 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 1078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335945).

1078400 is an abundant number, since it is smaller than the sum of its proper divisors (1593490).

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

1078400 is an equidigital number, since it uses as much as digits as its factorization.

1078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1078400 is about 1038.4603988598. The cubic root of 1078400 is about 102.5478658058.

The spelling of 1078400 in words is "one million, seventy-eight thousand, four hundred".