770032 has 40 divisors (see below), whose sum is σ = 1674000. Its totient is φ = 340992.

The previous prime is 770027. The next prime is 770039. The reversal of 770032 is 230077.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 769991 and 770009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770039) by changing a digit.

770032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5094 + ... + 5242.

It is an arithmetic number, because the mean of its divisors is an integer number (41850).

2⁷⁷⁰⁰³² 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 770032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837000).

770032 is an abundant number, since it is smaller than the sum of its proper divisors (903968).

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

770032 is a wasteful number, since it uses less digits than its factorization.

770032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 19.

The square root of 770032 is about 877.5146722420. The cubic root of 770032 is about 91.6578342270.

The spelling of 770032 in words is "seven hundred seventy thousand, thirty-two".