78924672 has 128 divisors (see below), whose sum is σ = 239047200. Its totient is φ = 25620480.

The previous prime is 78924649. The next prime is 78924673. The reversal of 78924672 is 27642987.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78924673) 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, 141418 + ... + 141974.

Almost surely, 2^78924672 is an apocalyptic number.

78924672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119523600).

78924672 is an abundant number, since it is smaller than the sum of its proper divisors (160122528).

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

78924672 is a wasteful number, since it uses less digits than its factorization.

78924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 603 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 78924672 is about 8883.9558756221. The cubic root of 78924672 is about 428.9476194054.

The spelling of 78924672 in words is "seventy-eight million, nine hundred twenty-four thousand, six hundred seventy-two".