877419578880 has 480 divisors, whose sum is σ = 3393735849504. Its totient is φ = 215978213376.

The previous prime is 877419578879. The next prime is 877419578887. The reversal of 877419578880 is 88875914778.

877419578880 is a `hidden beast` number, since 8 + 7 + 7 + 41 + 9 + 578 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 877419578799 and 877419578808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (877419578887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8032792 + ... + 8141288.

Almost surely, 2^877419578880 is an apocalyptic number.

877419578880 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 877419578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696867924752).

877419578880 is an abundant number, since it is smaller than the sum of its proper divisors (2516316270624).

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

877419578880 is a wasteful number, since it uses less digits than its factorization.

877419578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108548 (or 108520 counting only the distinct ones).

The product of its (nonzero) digits is 252887040, while the sum is 72.

The spelling of 877419578880 in words is "eight hundred seventy-seven billion, four hundred nineteen million, five hundred seventy-eight thousand, eight hundred eighty".