7820832 has 48 divisors (see below), whose sum is σ = 21040992. Its totient is φ = 2542080.

The previous prime is 7820821. The next prime is 7820881. The reversal of 7820832 is 2380287.

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

It is a super-2 number, since 2×7820832² = 122330826344448, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7820832.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2943 + ... + 4929.

It is an arithmetic number, because the mean of its divisors is an integer number (438354).

Almost surely, 2^7820832 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 7820832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10520496).

7820832 is an abundant number, since it is smaller than the sum of its proper divisors (13220160).

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

7820832 is a wasteful number, since it uses less digits than its factorization.

7820832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 7820832 is about 2796.5750481616. The cubic root of 7820832 is about 198.4956463037.

It can be divided in two parts, 78 and 20832, that added together give a triangular number (20910 = T₂₀₄).

The spelling of 7820832 in words is "seven million, eight hundred twenty thousand, eight hundred thirty-two".