1378900 has 18 divisors (see below), whose sum is σ = 2992430. Its totient is φ = 551520.

The previous prime is 1378859. The next prime is 1378903. The reversal of 1378900 is 98731.

It can be written as a sum of positive squares in 3 ways, for example, as 386884 + 992016 = 622^2 + 996^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378903) 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, 6795 + ... + 6994.

2^1378900 is an apocalyptic number.

1378900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1378900 is an abundant number, since it is smaller than the sum of its proper divisors (1613530).

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

1378900 is a wasteful number, since it uses less digits than its factorization.

1378900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13803 (or 13796 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1378900 is about 1174.2657280190. The cubic root of 1378900 is about 111.3040388900.

It can be divided in two parts, 1378 and 900, that added together give a triangular number (2278 = T₆₇).

The spelling of 1378900 in words is "one million, three hundred seventy-eight thousand, nine hundred".