77343984 has 140 divisors (see below), whose sum is σ = 237181000. Its totient is φ = 24354432.

The previous prime is 77343967. The next prime is 77343991. The reversal of 77343984 is 48934377.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 221442 + ... + 221790.

It is an arithmetic number, because the mean of its divisors is an integer number (1694150).

Almost surely, 2^77343984 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 77343984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118590500).

77343984 is an abundant number, since it is smaller than the sum of its proper divisors (159837016).

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

77343984 is a wasteful number, since it uses less digits than its factorization.

77343984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 373 counting only the distinct ones).

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

The square root of 77343984 is about 8794.5428533836. The cubic root of 77343984 is about 426.0646598936.

The spelling of 77343984 in words is "seventy-seven million, three hundred forty-three thousand, nine hundred eighty-four".