793962 has 60 divisors (see below), whose sum is σ = 1992870. Its totient is φ = 235872.

The previous prime is 793957. The next prime is 793967. The reversal of 793962 is 269397.

793962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (793957) and next prime (793967).

It can be written as a sum of positive squares in 3 ways, for example, as 408321 + 385641 = 639^2 + 621^2 .

It is not an unprimeable number, because it can be changed into a prime (793967) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 27364 + ... + 27392.

2⁷⁹³⁹⁶² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 793962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996435).

793962 is an abundant number, since it is smaller than the sum of its proper divisors (1198908).

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

793962 is a wasteful number, since it uses less digits than its factorization.

793962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 47 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 793962 is about 891.0454533861. The cubic root of 793962 is about 92.5976373469.

It can be divided in two parts, 7939 and 62, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 793962 in words is "seven hundred ninety-three thousand, nine hundred sixty-two".