876456672 has 192 divisors, whose sum is σ = 2901878784. Its totient is φ = 225423360.

The previous prime is 876456671. The next prime is 876456673. The reversal of 876456672 is 276654678.

876456672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (876456671) and next prime (876456673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876456671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356953 + ... + 359399.

It is an arithmetic number, because the mean of its divisors is an integer number (15113952).

Almost surely, 2^876456672 is an apocalyptic number.

876456672 is a gapful number since it is divisible by the number (82) 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 876456672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450939392).

876456672 is an abundant number, since it is smaller than the sum of its proper divisors (2025422112).

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

876456672 is a wasteful number, since it uses less digits than its factorization.

876456672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2513 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 876456672 is about 29605.0109272062. The cubic root of 876456672 is about 956.9960615616.

The spelling of 876456672 in words is "eight hundred seventy-six million, four hundred fifty-six thousand, six hundred seventy-two".