1277808672 has 432 divisors, whose sum is σ = 4503975840. Its totient is φ = 314302464.

The previous prime is 1277808667. The next prime is 1277808673. The reversal of 1277808672 is 2768087721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1277808673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44062354 + ... + 44062382.

It is an arithmetic number, because the mean of its divisors is an integer number (10425870).

Almost surely, 2^1277808672 is an apocalyptic number.

1277808672 is a gapful number since it is divisible by the number (12) 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 1277808672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251987920).

1277808672 is an abundant number, since it is smaller than the sum of its proper divisors (3226167168).

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

1277808672 is a wasteful number, since it uses less digits than its factorization.

1277808672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The square root of 1277808672 is about 35746.4497817615. The cubic root of 1277808672 is about 1085.1470907070.

The spelling of 1277808672 in words is "one billion, two hundred seventy-seven million, eight hundred eight thousand, six hundred seventy-two".