876036420 has 576 divisors, whose sum is σ = 3505582080. Its totient is φ = 172440576.

The previous prime is 876036419. The next prime is 876036449. The reversal of 876036420 is 24630678.

876036420 is a `hidden beast` number, since 8 + 7 + 6 + 0 + 3 + 642 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20372919 + ... + 20372961.

It is an arithmetic number, because the mean of its divisors is an integer number (6086080).

Almost surely, 2^876036420 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 876036420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752791040).

876036420 is an abundant number, since it is smaller than the sum of its proper divisors (2629545660).

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

876036420 is a wasteful number, since it uses less digits than its factorization.

876036420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 876036420 is about 29597.9124263858. The cubic root of 876036420 is about 956.8430805039.

The spelling of 876036420 in words is "eight hundred seventy-six million, thirty-six thousand, four hundred twenty".