820748160 has 128 divisors (see below), whose sum is σ = 2906877600. Its totient is φ = 218861568.

The previous prime is 820748153. The next prime is 820748177. The reversal of 820748160 is 61847028.

820748160 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 (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6469 + ... + 41028.

Almost surely, 2^820748160 is an apocalyptic number.

820748160 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 820748160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453438800).

820748160 is an abundant number, since it is smaller than the sum of its proper divisors (2086129440).

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

820748160 is a wasteful number, since it uses less digits than its factorization.

820748160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47525 (or 47507 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 820748160 is about 28648.7025884245. The cubic root of 820748160 is about 936.2747385476.

The spelling of 820748160 in words is "eight hundred twenty million, seven hundred forty-eight thousand, one hundred sixty".