1260794880 has 132 divisors (see below), whose sum is σ = 4368781092. Its totient is φ = 336199680.

The previous prime is 1260794863. The next prime is 1260794897. The reversal of 1260794880 is 884970621.

It is an interprime number because it is at equal distance from previous prime (1260794863) and next prime (1260794897).

It can be written as a sum of positive squares in 2 ways, for example, as 608707584 + 652087296 = 24672^2 + 25536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32400 + ... + 59760.

Almost surely, 2^1260794880 is an apocalyptic number.

1260794880 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 1260794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184390546).

1260794880 is an abundant number, since it is smaller than the sum of its proper divisors (3107986212).

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

1260794880 is a wasteful number, since it uses less digits than its factorization.

1260794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27392 (or 27371 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1260794880 is about 35507.6735368568. The cubic root of 1260794880 is about 1080.3093763883.

The spelling of 1260794880 in words is "one billion, two hundred sixty million, seven hundred ninety-four thousand, eight hundred eighty".