7820352 has 42 divisors (see below), whose sum is σ = 22417278. Its totient is φ = 2606592.

The previous prime is 7820347. The next prime is 7820359. The reversal of 7820352 is 2530287.

It can be written as a sum of positive squares in only one way, i.e., 7750656 + 69696 = 2784^2 + 264^2 .

It is a super-2 number, since 2×7820352² = 122315810807808, which contains 22 as substring.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (7820359) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6213 + ... + 7364.

Almost surely, 2^7820352 is an apocalyptic number.

7820352 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7820352 is an abundant number, since it is smaller than the sum of its proper divisors (14596926).

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

7820352 is a wasteful number, since it uses less digits than its factorization.

7820352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13595 (or 13582 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 7820352 is about 2796.4892275852. The cubic root of 7820352 is about 198.4915853607.

The spelling of 7820352 in words is "seven million, eight hundred twenty thousand, three hundred fifty-two".