877993215375672 has 288 divisors, whose sum is σ = 2770006595101200. Its totient is φ = 257476008873600.

The previous prime is 877993215375671. The next prime is 877993215375673. The reversal of 877993215375672 is 276573512399778.

877993215375672 is a `hidden beast` number, since 8 + 7 + 7 + 9 + 9 + 3 + 2 + 1 + 537 + 5 + 6 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (877993215375671) and next prime (877993215375673).

It is a super-3 number, since 3×877993215375672³ (a number of 46 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 877993215375591 and 877993215375600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877993215375671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7638418 + ... + 42594974.

Almost surely, 2^{877993215375672} 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 877993215375672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385003297550600).

877993215375672 is an abundant number, since it is smaller than the sum of its proper divisors (1892013379725528).

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

877993215375672 is a wasteful number, since it uses less digits than its factorization.

877993215375672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34956656 (or 34956604 counting only the distinct ones).

The product of its digits is 8401579200, while the sum is 81.

The spelling of 877993215375672 in words is "eight hundred seventy-seven trillion, nine hundred ninety-three billion, two hundred fifteen million, three hundred seventy-five thousand, six hundred seventy-two".