820749792 has 48 divisors (see below), whose sum is σ = 2157276240. Its totient is φ = 273226752.

The previous prime is 820749791. The next prime is 820749833. The reversal of 820749792 is 297947028.

820749792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820749791) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74428 + ... + 84740.

It is an arithmetic number, because the mean of its divisors is an integer number (44943255).

Almost surely, 2^820749792 is an apocalyptic number.

It is an amenable number.

820749792 is an abundant number, since it is smaller than the sum of its proper divisors (1336526448).

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

820749792 is a wasteful number, since it uses less digits than its factorization.

820749792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11155 (or 11147 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 820749792 is about 28648.7310713756. The cubic root of 820749792 is about 936.2753591194.

The spelling of 820749792 in words is "eight hundred twenty million, seven hundred forty-nine thousand, seven hundred ninety-two".