77528670606904 has 64 divisors (see below), whose sum is σ = 160232083683840. Its totient is φ = 34873551836160.

The previous prime is 77528670606823. The next prime is 77528670606943. The reversal of 77528670606904 is 40960607682577.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 77528670606904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86819307 + ... + 87707749.

It is an arithmetic number, because the mean of its divisors is an integer number (2503626307560).

Almost surely, 2^{77528670606904} 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 77528670606904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80116041841920).

77528670606904 is an abundant number, since it is smaller than the sum of its proper divisors (82703413076936).

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

77528670606904 is a wasteful number, since it uses less digits than its factorization.

77528670606904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898780 (or 898776 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 67.

The spelling of 77528670606904 in words is "seventy-seven trillion, five hundred twenty-eight billion, six hundred seventy million, six hundred six thousand, nine hundred four".