1277855040 has 448 divisors, whose sum is σ = 5161605120. Its totient is φ = 260136960.

The previous prime is 1277855039. The next prime is 1277855053. The reversal of 1277855040 is 405587721.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 1277855040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4361134 + ... + 4361426.

It is an arithmetic number, because the mean of its divisors is an integer number (11521440).

Almost surely, 2^1277855040 is an apocalyptic number.

1277855040 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 1277855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580802560).

1277855040 is an abundant number, since it is smaller than the sum of its proper divisors (3883750080).

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

1277855040 is a wasteful number, since it uses less digits than its factorization.

1277855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 39.

The square root of 1277855040 is about 35747.0983437817. The cubic root of 1277855040 is about 1085.1602161701.

The spelling of 1277855040 in words is "one billion, two hundred seventy-seven million, eight hundred fifty-five thousand, forty".