820078960 has 60 divisors (see below), whose sum is σ = 1970358264. Its totient is φ = 317420160.

The previous prime is 820078943. The next prime is 820078967. The reversal of 820078960 is 69870028.

820078960 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820078967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71547 + ... + 82213.

Almost surely, 2^820078960 is an apocalyptic number.

820078960 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 820078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985179132).

820078960 is an abundant number, since it is smaller than the sum of its proper divisors (1150279304).

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

820078960 is a wasteful number, since it uses less digits than its factorization.

820078960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10742 (or 10705 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 820078960 is about 28637.0207947684. The cubic root of 820078960 is about 936.0202043512.

The spelling of 820078960 in words is "eight hundred twenty million, seventy-eight thousand, nine hundred sixty".