823760640 has 216 divisors, whose sum is σ = 2975001120. Its totient is φ = 210051072.

The previous prime is 823760627. The next prime is 823760647. The reversal of 823760640 is 46067328.

823760640 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 6 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 823760595 and 823760604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823760647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 263406 + ... + 266514.

Almost surely, 2^823760640 is an apocalyptic number.

823760640 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 823760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487500560).

823760640 is an abundant number, since it is smaller than the sum of its proper divisors (2151240480).

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

823760640 is a wasteful number, since it uses less digits than its factorization.

823760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3159 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 823760640 is about 28701.2306356365. The cubic root of 823760640 is about 937.4188431080.

The spelling of 823760640 in words is "eight hundred twenty-three million, seven hundred sixty thousand, six hundred forty".