1272577878 has 96 divisors (see below), whose sum is σ = 3359446272. Its totient is φ = 355946400.

The previous prime is 1272577861. The next prime is 1272577919. The reversal of 1272577878 is 8787752721.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60343 + ... + 78653.

It is an arithmetic number, because the mean of its divisors is an integer number (34994232).

Almost surely, 2^1272577878 is an apocalyptic number.

1272577878 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272577878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679723136).

1272577878 is an abundant number, since it is smaller than the sum of its proper divisors (2086868394).

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

1272577878 is a wasteful number, since it uses less digits than its factorization.

1272577878 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18352 (or 18340 counting only the distinct ones).

The product of its digits is 3073280, while the sum is 54.

The square root of 1272577878 is about 35673.2095275993. The cubic root of 1272577878 is about 1083.6643586017.

The spelling of 1272577878 in words is "one billion, two hundred seventy-two million, five hundred seventy-seven thousand, eight hundred seventy-eight".