77868944 has 40 divisors (see below), whose sum is σ = 156920760. Its totient is φ = 37388288.

The previous prime is 77868943. The next prime is 77868949. The reversal of 77868944 is 44986877.

It can be written as a sum of positive squares in 4 ways, for example, as 24403600 + 53465344 = 4940^2 + 7312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77868943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118922 + ... + 119574.

It is an arithmetic number, because the mean of its divisors is an integer number (3923019).

Almost surely, 2^77868944 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 77868944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78460380).

77868944 is an abundant number, since it is smaller than the sum of its proper divisors (79051816).

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

77868944 is a wasteful number, since it uses less digits than its factorization.

77868944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 53.

The square root of 77868944 is about 8824.3381621513. The cubic root of 77868944 is about 427.0264359203.

The spelling of 77868944 in words is "seventy-seven million, eight hundred sixty-eight thousand, nine hundred forty-four".