766038 has 64 divisors (see below), whose sum is σ = 1999872. Its totient is φ = 190080.

The previous prime is 766021. The next prime is 766039. The reversal of 766038 is 830667.

766038 = T₁₂₇ + T₁₂₈ + ... + T₁₈₇.

766038 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 765996 and 766014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766039) by changing a digit.

766038 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 31 ways as a sum of consecutive naturals, for example, 12528 + ... + 12588.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2⁷⁶⁶⁰³⁸ is an apocalyptic number.

766038 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 766038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999936).

766038 is an abundant number, since it is smaller than the sum of its proper divisors (1233834).

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

766038 is a wasteful number, since it uses less digits than its factorization.

766038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 766038 is about 875.2359681823. The cubic root of 766038 is about 91.4990892441.

The spelling of 766038 in words is "seven hundred sixty-six thousand, thirty-eight".