876784272 has 160 divisors (see below), whose sum is σ = 2805653760. Its totient is φ = 229754880.

The previous prime is 876784243. The next prime is 876784313. The reversal of 876784272 is 272487678.

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 790054 + ... + 791162.

It is an arithmetic number, because the mean of its divisors is an integer number (17535336).

Almost surely, 2^876784272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876784272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402826880).

876784272 is an abundant number, since it is smaller than the sum of its proper divisors (1928869488).

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

876784272 is a wasteful number, since it uses less digits than its factorization.

876784272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its digits is 2107392, while the sum is 51.

The square root of 876784272 is about 29610.5432574278. The cubic root of 876784272 is about 957.1152813195.

It can be divided in two parts, 8767 and 84272, that added together give a palindrome (93039).

The spelling of 876784272 in words is "eight hundred seventy-six million, seven hundred eighty-four thousand, two hundred seventy-two".