876978527040 has 2016 divisors, whose sum is σ = 3971104600320. Its totient is φ = 175575859200.

The previous prime is 876978527023. The next prime is 876978527041. The reversal of 876978527040 is 40725879678.

876978527040 is a `hidden beast` number, since 8 + 7 + 69 + 7 + 8 + 527 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×876978527040² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (876978527041) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8045674506 + ... + 8045674614.

Almost surely, 2^876978527040 is an apocalyptic number.

876978527040 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 876978527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1985552300160).

876978527040 is an abundant number, since it is smaller than the sum of its proper divisors (3094126073280).

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

876978527040 is a wasteful number, since it uses less digits than its factorization.

876978527040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 876978527040 in words is "eight hundred seventy-six billion, nine hundred seventy-eight million, five hundred twenty-seven thousand, forty".