76826944 has 56 divisors (see below), whose sum is σ = 162644328. Its totient is φ = 35880960.

The previous prime is 76826941. The next prime is 76826951. The reversal of 76826944 is 44962867.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 50694400 + 26132544 = 7120^2 + 5112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 76826894 and 76826903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76826941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262062 + ... + 262354.

It is an arithmetic number, because the mean of its divisors is an integer number (2904363).

Almost surely, 2^76826944 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 76826944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81322164).

76826944 is an abundant number, since it is smaller than the sum of its proper divisors (85817384).

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

76826944 is a wasteful number, since it uses less digits than its factorization.

76826944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 76826944 is about 8765.0980599192. The cubic root of 76826944 is about 425.1131306674.

The spelling of 76826944 in words is "seventy-six million, eight hundred twenty-six thousand, nine hundred forty-four".