876564480 has 208 divisors, whose sum is σ = 3061992384. Its totient is φ = 212336640.

The previous prime is 876564473. The next prime is 876564529. The reversal of 876564480 is 84465678.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 675192 + ... + 676488.

Almost surely, 2^876564480 is an apocalyptic number.

876564480 is a gapful number since it is divisible by the number (80) 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 876564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530996192).

876564480 is an abundant number, since it is smaller than the sum of its proper divisors (2185427904).

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

876564480 is a wasteful number, since it uses less digits than its factorization.

876564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The square root of 876564480 is about 29606.8316440649. The cubic root of 876564480 is about 957.0352981852.

The spelling of 876564480 in words is "eight hundred seventy-six million, five hundred sixty-four thousand, four hundred eighty".