77067984 has 160 divisors (see below), whose sum is σ = 241254400. Its totient is φ = 21168000.

The previous prime is 77067979. The next prime is 77068001. The reversal of 77067984 is 48976077.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510309 + ... + 510459.

It is an arithmetic number, because the mean of its divisors is an integer number (1507840).

Almost surely, 2^77067984 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 77067984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120627200).

77067984 is an abundant number, since it is smaller than the sum of its proper divisors (164186416).

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

77067984 is a wasteful number, since it uses less digits than its factorization.

77067984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 77067984 is about 8778.8372806426. The cubic root of 77067984 is about 425.5572556333.

The spelling of 77067984 in words is "seventy-seven million, sixty-seven thousand, nine hundred eighty-four".