823051780 has 48 divisors (see below), whose sum is σ = 1841978880. Its totient is φ = 308198528.

The previous prime is 823051771. The next prime is 823051793. The reversal of 823051780 is 87150328.

It is a super-2 number, since 2×823051780² = 1354828465122336800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2586 + ... + 40654.

It is an arithmetic number, because the mean of its divisors is an integer number (38374560).

Almost surely, 2^823051780 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 823051780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920989440).

823051780 is an abundant number, since it is smaller than the sum of its proper divisors (1018927100).

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

823051780 is a wasteful number, since it uses less digits than its factorization.

823051780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38148 (or 38146 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 823051780 is about 28688.8790300353. The cubic root of 823051780 is about 937.1498776731.

The spelling of 823051780 in words is "eight hundred twenty-three million, fifty-one thousand, seven hundred eighty".