77289440 has 48 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 30405120.

The previous prime is 77289439. The next prime is 77289451. The reversal of 77289440 is 4498277.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5801 + ... + 13719.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^77289440 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 77289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

77289440 is an abundant number, since it is smaller than the sum of its proper divisors (108323680).

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

77289440 is a wasteful number, since it uses less digits than its factorization.

77289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7995 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The square root of 77289440 is about 8791.4412925299. The cubic root of 77289440 is about 425.9644808638.

The spelling of 77289440 in words is "seventy-seven million, two hundred eighty-nine thousand, four hundred forty".