878069237760 has 1440 divisors, whose sum is σ = 3731041674360. Its totient is φ = 196199055360.

The previous prime is 878069237743. The next prime is 878069237783. The reversal of 878069237760 is 67732960878.

It can be written as a sum of positive squares in 4 ways, for example, as 472595751936 + 405473485824 = 687456^2 + 636768^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 1304708784 + ... + 1304709456.

Almost surely, 2^878069237760 is an apocalyptic number.

878069237760 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 878069237760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865520837180).

878069237760 is an abundant number, since it is smaller than the sum of its proper divisors (2852972436600).

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

878069237760 is a wasteful number, since it uses less digits than its factorization.

878069237760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 878069237760 in words is "eight hundred seventy-eight billion, sixty-nine million, two hundred thirty-seven thousand, seven hundred sixty".