876515261040 has 720 divisors, whose sum is σ = 3257200945440. Its totient is φ = 210586521600.

The previous prime is 876515261003. The next prime is 876515261129. The reversal of 876515261040 is 40162515678.

876515261040 is a `hidden beast` number, since 8 + 7 + 6 + 515 + 26 + 104 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 801934734 + ... + 801935826.

It is an arithmetic number, because the mean of its divisors is an integer number (4523890202).

Almost surely, 2^876515261040 is an apocalyptic number.

876515261040 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 876515261040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628600472720).

876515261040 is an abundant number, since it is smaller than the sum of its proper divisors (2380685684400).

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

876515261040 is a wasteful number, since it uses less digits than its factorization.

876515261040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 876515261040 in words is "eight hundred seventy-six billion, five hundred fifteen million, two hundred sixty-one thousand, forty".