876230046720 has 528 divisors, whose sum is σ = 3652493869440. Its totient is φ = 189738713088.

The previous prime is 876230046707. The next prime is 876230046763. The reversal of 876230046720 is 27640032678.

876230046720 is a `hidden beast` number, since 87 + 62 + 30 + 0 + 467 + 20 = 666.

It is a super-3 number, since 3×876230046720³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6057154 + ... + 6200126.

Almost surely, 2^876230046720 is an apocalyptic number.

876230046720 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 876230046720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826246934720).

876230046720 is an abundant number, since it is smaller than the sum of its proper divisors (2776263822720).

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

876230046720 is a wasteful number, since it uses less digits than its factorization.

876230046720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143030 (or 143009 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 876230046720 in words is "eight hundred seventy-six billion, two hundred thirty million, forty-six thousand, seven hundred twenty".