1340784900 has 720 divisors, whose sum is σ = 5716884096. Its totient is φ = 263761920.

The previous prime is 1340784871. The next prime is 1340784901. The reversal of 1340784900 is 94870431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1340784901) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12530647 + ... + 12530753.

Almost surely, 2^1340784900 is an apocalyptic number.

1340784900 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 1340784900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858442048).

1340784900 is an abundant number, since it is smaller than the sum of its proper divisors (4376099196).

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

1340784900 is a wasteful number, since it uses less digits than its factorization.

1340784900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1340784900 is about 36616.7297829831. The cubic root of 1340784900 is about 1102.6889860675.

The spelling of 1340784900 in words is "one billion, three hundred forty million, seven hundred eighty-four thousand, nine hundred".