77878944 has 288 divisors, whose sum is σ = 272982528. Its totient is φ = 20736000.

The previous prime is 77878901. The next prime is 77878961. The reversal of 77878944 is 44987877.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1276674 + ... + 1276734.

It is an arithmetic number, because the mean of its divisors is an integer number (947856).

Almost surely, 2^77878944 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 77878944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136491264).

77878944 is an abundant number, since it is smaller than the sum of its proper divisors (195103584).

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

77878944 is a wasteful number, since it uses less digits than its factorization.

77878944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 121 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

The square root of 77878944 is about 8824.9047586929. The cubic root of 77878944 is about 427.0447148445.

The spelling of 77878944 in words is "seventy-seven million, eight hundred seventy-eight thousand, nine hundred forty-four".