1070800 has 30 divisors (see below), whose sum is σ = 2573558. Its totient is φ = 428160.

The previous prime is 1070789. The next prime is 1070803. The reversal of 1070800 is 80701.

It can be written as a sum of positive squares in 3 ways, for example, as 5776 + 1065024 = 76^2 + 1032^2 .

It is a super-2 number, since 2×1070800² = 2293225280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070803) 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, 939 + ... + 1738.

2^1070800 is an apocalyptic number.

1070800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070800 is an abundant number, since it is smaller than the sum of its proper divisors (1502758).

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

1070800 is a wasteful number, since it uses less digits than its factorization.

1070800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 1070800 is about 1034.7946656221. The cubic root of 1070800 is about 102.3063963968.

Subtracting from 1070800 its reverse (80701), we obtain a palindrome (990099).

The spelling of 1070800 in words is "one million, seventy thousand, eight hundred".