1276264080 has 640 divisors, whose sum is σ = 5572976640. Its totient is φ = 261273600.

The previous prime is 1276264049. The next prime is 1276264081. The reversal of 1276264080 is 804626721.

1276264080 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 2 + 640 + 8 + 0 = 666.

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 (1276264081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8452005 + ... + 8452155.

It is an arithmetic number, because the mean of its divisors is an integer number (8707776).

Almost surely, 2^1276264080 is an apocalyptic number.

1276264080 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 1276264080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786488320).

1276264080 is an abundant number, since it is smaller than the sum of its proper divisors (4296712560).

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

1276264080 is a wasteful number, since it uses less digits than its factorization.

1276264080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1276264080 is about 35724.8384181090. The cubic root of 1276264080 is about 1084.7096790256.

It can be divided in two parts, 1276 and 264080, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 1276264080 in words is "one billion, two hundred seventy-six million, two hundred sixty-four thousand, eighty".