826788000720 has 160 divisors (see below), whose sum is σ = 2796804993024. Its totient is φ = 200379097600.

The previous prime is 826788000691. The next prime is 826788000721. The reversal of 826788000720 is 27000887628.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 826788000720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826788000721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10157785 + ... + 10238855.

Almost surely, 2^826788000720 is an apocalyptic number.

826788000720 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 826788000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398402496512).

826788000720 is an abundant number, since it is smaller than the sum of its proper divisors (1970016992304).

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

826788000720 is a wasteful number, since it uses less digits than its factorization.

826788000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84961 (or 84955 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 826788000720 in words is "eight hundred twenty-six billion, seven hundred eighty-eight million, seven hundred twenty", and thus it is an aban number.