773352 has 48 divisors (see below), whose sum is σ = 2190240. Its totient is φ = 246048.

The previous prime is 773341. The next prime is 773363. The reversal of 773352 is 253377.

It is an interprime number because it is at equal distance from previous prime (773341) and next prime (773363).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

773352 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 11 ways as a sum of consecutive naturals, for example, 1423 + ... + 1889.

It is an arithmetic number, because the mean of its divisors is an integer number (45630).

2⁷⁷³³⁵² is an apocalyptic number.

773352 is a gapful number since it is divisible by the number (72) 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 773352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095120).

773352 is an abundant number, since it is smaller than the sum of its proper divisors (1416888).

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

773352 is a wasteful number, since it uses less digits than its factorization.

773352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its digits is 4410, while the sum is 27.

The square root of 773352 is about 879.4043438601. The cubic root of 773352 is about 91.7893732270.

The spelling of 773352 in words is "seven hundred seventy-three thousand, three hundred fifty-two".