878557757760 has 168 divisors, whose sum is σ = 3022706101896. Its totient is φ = 234217451520.

The previous prime is 878557757747. The next prime is 878557757767. The reversal of 878557757760 is 67757755878.

878557757760 is a `hidden beast` number, since 8 + 7 + 8 + 557 + 7 + 5 + 7 + 7 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35304906816 + 843252850944 = 187896^2 + 918288^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (878557757767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10895190 + ... + 10975530.

Almost surely, 2^878557757760 is an apocalyptic number.

878557757760 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 878557757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511353050948).

878557757760 is an abundant number, since it is smaller than the sum of its proper divisors (2144148344136).

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

878557757760 is a wasteful number, since it uses less digits than its factorization.

878557757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84161 (or 84148 counting only the distinct ones).

The product of its (nonzero) digits is 806736000, while the sum is 72.

The spelling of 878557757760 in words is "eight hundred seventy-eight billion, five hundred fifty-seven million, seven hundred fifty-seven thousand, seven hundred sixty".