77644944 has 240 divisors, whose sum is σ = 257275200. Its totient is φ = 21648384.

The previous prime is 77644937. The next prime is 77644991. The reversal of 77644944 is 44944677.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 77644944.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1315987 + ... + 1316045.

It is an arithmetic number, because the mean of its divisors is an integer number (1071980).

Almost surely, 2^77644944 is an apocalyptic number.

77644944 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77644944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128637600).

77644944 is an abundant number, since it is smaller than the sum of its proper divisors (179630256).

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

77644944 is a wasteful number, since it uses less digits than its factorization.

77644944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 133 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 77644944 is about 8811.6368513461. The cubic root of 77644944 is about 426.6165772362.

The spelling of 77644944 in words is "seventy-seven million, six hundred forty-four thousand, nine hundred forty-four".