78540672 has 128 divisors (see below), whose sum is σ = 242841600. Its totient is φ = 22026240.

The previous prime is 78540667. The next prime is 78540689. The reversal of 78540672 is 27604587.

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

It is a super-3 number, since 3×78540672³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 78540672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163729 + ... + 164207.

It is an arithmetic number, because the mean of its divisors is an integer number (1897200).

Almost surely, 2^78540672 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 78540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121420800).

78540672 is an abundant number, since it is smaller than the sum of its proper divisors (164300928).

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

78540672 is a wasteful number, since it uses less digits than its factorization.

78540672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 78540672 is about 8862.3175298564. The cubic root of 78540672 is about 428.2508210438.

The spelling of 78540672 in words is "seventy-eight million, five hundred forty thousand, six hundred seventy-two".