78654240 has 432 divisors, whose sum is σ = 337925952. Its totient is φ = 16920576.

The previous prime is 78654229. The next prime is 78654241. The reversal of 78654240 is 4245687.

78654240 is a `hidden beast` number, since 78 + 6 + 542 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 78654195 and 78654204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78654241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4626712 + ... + 4626728.

It is an arithmetic number, because the mean of its divisors is an integer number (782236).

Almost surely, 2^78654240 is an apocalyptic number.

78654240 is a gapful number since it is divisible by the number (70) 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 78654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168962976).

78654240 is an abundant number, since it is smaller than the sum of its proper divisors (259271712).

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

78654240 is a wasteful number, since it uses less digits than its factorization.

78654240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 78654240 is about 8868.7225686679. The cubic root of 78654240 is about 428.4571352367.

Multiplying 78654240 by its product of nonzero digits (53760), we get a square (4228451942400 = 2056320²).

The spelling of 78654240 in words is "seventy-eight million, six hundred fifty-four thousand, two hundred forty".