820294936380 has 240 divisors, whose sum is σ = 2675438008320. Its totient is φ = 210164284800.

The previous prime is 820294936379. The next prime is 820294936393. The reversal of 820294936380 is 83639492028.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6921825 + ... + 7039335.

It is an arithmetic number, because the mean of its divisors is an integer number (11147658368).

Almost surely, 2^820294936380 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 820294936380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337719004160).

820294936380 is an abundant number, since it is smaller than the sum of its proper divisors (1855143071940).

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

820294936380 is a wasteful number, since it uses less digits than its factorization.

820294936380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117702 (or 117691 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 820294936380 in words is "eight hundred twenty billion, two hundred ninety-four million, nine hundred thirty-six thousand, three hundred eighty".