826640780 has 72 divisors (see below), whose sum is σ = 2026166688. Its totient is φ = 282465792.

The previous prime is 826640779. The next prime is 826640797. The reversal of 826640780 is 87046628.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329009 + ... + 331511.

It is an arithmetic number, because the mean of its divisors is an integer number (28141204).

Almost surely, 2^826640780 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 826640780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013083344).

826640780 is an abundant number, since it is smaller than the sum of its proper divisors (1199525908).

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

826640780 is a wasteful number, since it uses less digits than its factorization.

826640780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 826640780 is about 28751.3613590731. The cubic root of 826640780 is about 938.5100812238.

The spelling of 826640780 in words is "eight hundred twenty-six million, six hundred forty thousand, seven hundred eighty".