878495760 has 160 divisors (see below), whose sum is σ = 3037841280. Its totient is φ = 233344512.

The previous prime is 878495749. The next prime is 878495767. The reversal of 878495760 is 67594878.

878495760 is a `hidden beast` number, since 87 + 8 + 495 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 878495697 and 878495706.

It is not an unprimeable number, because it can be changed into a prime (878495767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684079 + ... + 685361.

It is an arithmetic number, because the mean of its divisors is an integer number (18986508).

Almost surely, 2^878495760 is an apocalyptic number.

878495760 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 878495760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518920640).

878495760 is an abundant number, since it is smaller than the sum of its proper divisors (2159345520).

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

878495760 is a wasteful number, since it uses less digits than its factorization.

878495760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 878495760 is about 29639.4291443003. The cubic root of 878495760 is about 957.7376414106.

The spelling of 878495760 in words is "eight hundred seventy-eight million, four hundred ninety-five thousand, seven hundred sixty".