828761786240 has 128 divisors (see below), whose sum is σ = 2006213724000. Its totient is φ = 327346790400.

The previous prime is 828761786231. The next prime is 828761786261. The reversal of 828761786240 is 42687167828.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 828761786240.

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, 24481646 + ... + 24515474.

Almost surely, 2^828761786240 is an apocalyptic number.

828761786240 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 828761786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003106862000).

828761786240 is an abundant number, since it is smaller than the sum of its proper divisors (1177451937760).

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

828761786240 is a wasteful number, since it uses less digits than its factorization.

828761786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34328 (or 34316 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 59.

The spelling of 828761786240 in words is "eight hundred twenty-eight billion, seven hundred sixty-one million, seven hundred eighty-six thousand, two hundred forty".