1264736800 has 36 divisors (see below), whose sum is σ = 3087540666. Its totient is φ = 505894400.

The previous prime is 1264736797. The next prime is 1264736801. The reversal of 1264736800 is 86374621.

It can be written as a sum of positive squares in 3 ways, for example, as 1131380496 + 133356304 = 33636^2 + 11548^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1264736800.

It is not an unprimeable number, because it can be changed into a prime (1264736801) 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, 789661 + ... + 791260.

Almost surely, 2^1264736800 is an apocalyptic number.

1264736800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1264736800 is an abundant number, since it is smaller than the sum of its proper divisors (1822803866).

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

1264736800 is a wasteful number, since it uses less digits than its factorization.

1264736800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580941 (or 1580928 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 1264736800 is about 35563.1382192292. The cubic root of 1264736800 is about 1081.4340802787.

The spelling of 1264736800 in words is "one billion, two hundred sixty-four million, seven hundred thirty-six thousand, eight hundred".