1279200 has 144 divisors (see below), whose sum is σ = 4593456. Its totient is φ = 307200.

The previous prime is 1279193. The next prime is 1279211. The reversal of 1279200 is 29721.

It is a happy number.

1279200 is a nontrivial binomial coefficient, being equal to C(1600, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31180 + ... + 31220.

It is an arithmetic number, because the mean of its divisors is an integer number (31899).

2^1279200 is an apocalyptic number.

1279200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1279200 is the 1599-th triangular number and also the 800-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1279200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296728).

1279200 is an abundant number, since it is smaller than the sum of its proper divisors (3314256).

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

1279200 is a wasteful number, since it uses less digits than its factorization.

1279200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1279200 is about 1131.0172412479. The cubic root of 1279200 is about 108.5540798028.

The spelling of 1279200 in words is "one million, two hundred seventy-nine thousand, two hundred".