1264078080 has 216 divisors, whose sum is σ = 4403671272. Its totient is φ = 334774272.

The previous prime is 1264078073. The next prime is 1264078097. The reversal of 1264078080 is 808704621.

1264078080 is a `hidden beast` number, since 1 + 2 + 640 + 7 + 8 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 192432384 + 1071645696 = 13872^2 + 32736^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2269162 + ... + 2269718.

It is an arithmetic number, because the mean of its divisors is an integer number (20387367).

Almost surely, 2^1264078080 is an apocalyptic number.

1264078080 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 1264078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201835636).

1264078080 is an abundant number, since it is smaller than the sum of its proper divisors (3139593192).

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

1264078080 is a wasteful number, since it uses less digits than its factorization.

1264078080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1264078080 is about 35553.8757380964. The cubic root of 1264078080 is about 1081.2462978701.

The spelling of 1264078080 in words is "one billion, two hundred sixty-four million, seventy-eight thousand, eighty".