876675072 has 272 divisors, whose sum is σ = 2935990400. Its totient is φ = 231211008.

The previous prime is 876675053. The next prime is 876675073. The reversal of 876675072 is 270576678.

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 (876675073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67436538 + ... + 67436550.

Almost surely, 2^876675072 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 876675072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467995200).

876675072 is an abundant number, since it is smaller than the sum of its proper divisors (2059315328).

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

876675072 is an frugal number, since it uses more digits than its factorization.

876675072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 48.

The square root of 876675072 is about 29608.6992622101. The cubic root of 876675072 is about 957.0755447003.

It can be divided in two parts, 8766 and 75072, that added together give a palindrome (83838).

The spelling of 876675072 in words is "eight hundred seventy-six million, six hundred seventy-five thousand, seventy-two".