776628 has 72 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 238464.

The previous prime is 776627. The next prime is 776651. The reversal of 776628 is 826677.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 776592 and 776601.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 776628.

It is not an unprimeable number, because it can be changed into a prime (776627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16501 + ... + 16547.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁷⁷⁶⁶²⁸ 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 776628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

776628 is an abundant number, since it is smaller than the sum of its proper divisors (1424844).

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

776628 is a wasteful number, since it uses less digits than its factorization.

776628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 776628 is about 881.2649998723. The cubic root of 776628 is about 91.9188004397.

The spelling of 776628 in words is "seven hundred seventy-six thousand, six hundred twenty-eight".