78633984 has 176 divisors, whose sum is σ = 247605120. Its totient is φ = 21872640.

The previous prime is 78633983. The next prime is 78634007. The reversal of 78633984 is 48933687.

It is a tau number, because it is divible by the number of its divisors (176).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78633983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 439207 + ... + 439385.

Almost surely, 2^78633984 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 78633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123802560).

78633984 is an abundant number, since it is smaller than the sum of its proper divisors (168971136).

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

78633984 is a wasteful number, since it uses less digits than its factorization.

78633984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 208 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 78633984 is about 8867.5805042864. The cubic root of 78633984 is about 428.4203515751.

The spelling of 78633984 in words is "seventy-eight million, six hundred thirty-three thousand, nine hundred eighty-four".