77266944 has 102 divisors (see below), whose sum is σ = 224917836. Its totient is φ = 25559040.

The previous prime is 77266897. The next prime is 77266963. The reversal of 77266944 is 44966277.

It is a zygodrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 77266944.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589759 + ... + 589889.

Almost surely, 2^77266944 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 77266944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112458918).

77266944 is an abundant number, since it is smaller than the sum of its proper divisors (147650892).

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

77266944 is an equidigital number, since it uses as much as digits as its factorization.

77266944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 77266944 is about 8790.1617732554. The cubic root of 77266944 is about 425.9231495305.

It can be divided in two parts, 77266 and 944, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 77266944 in words is "seventy-seven million, two hundred sixty-six thousand, nine hundred forty-four".