1306076400 has 240 divisors, whose sum is σ = 4709207520. Its totient is φ = 348053760.

The previous prime is 1306076377. The next prime is 1306076441. The reversal of 1306076400 is 46706031.

1306076400 is a `hidden beast` number, since 13 + 0 + 6 + 0 + 7 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874054 + ... + 875546.

It is an arithmetic number, because the mean of its divisors is an integer number (19621698).

Almost surely, 2^1306076400 is an apocalyptic number.

1306076400 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 1306076400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354603760).

1306076400 is an abundant number, since it is smaller than the sum of its proper divisors (3403131120).

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

1306076400 is an equidigital number, since it uses as much as digits as its factorization.

1306076400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1306076400 is about 36139.6790245846. The cubic root of 1306076400 is about 1093.0906866180.

The spelling of 1306076400 in words is "one billion, three hundred six million, seventy-six thousand, four hundred".