772038 has 48 divisors (see below), whose sum is σ = 1881360. Its totient is φ = 233856.

The previous prime is 772019. The next prime is 772061. The reversal of 772038 is 830277.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26608 + ... + 26636.

It is an arithmetic number, because the mean of its divisors is an integer number (39195).

2⁷⁷²⁰³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940680).

772038 is an abundant number, since it is smaller than the sum of its proper divisors (1109322).

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

772038 is a wasteful number, since it uses less digits than its factorization.

772038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 772038 is about 878.6569296375. The cubic root of 772038 is about 91.7373574088.

Adding to 772038 its product of nonzero digits (2352), we get a triangular number (774390 = T₁₂₄₄).

The spelling of 772038 in words is "seven hundred seventy-two thousand, thirty-eight".