78607540 has 48 divisors (see below), whose sum is σ = 181883520. Its totient is φ = 28298880.

The previous prime is 78607513. The next prime is 78607553. The reversal of 78607540 is 4570687.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 78607540.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20926 + ... + 24394.

It is an arithmetic number, because the mean of its divisors is an integer number (3789240).

Almost surely, 2^78607540 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 78607540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90941760).

78607540 is an abundant number, since it is smaller than the sum of its proper divisors (103275980).

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

78607540 is a wasteful number, since it uses less digits than its factorization.

78607540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The square root of 78607540 is about 8866.0893295748. The cubic root of 78607540 is about 428.3723213748.

It can be divided in two parts, 7860 and 7540, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 78607540 in words is "seventy-eight million, six hundred seven thousand, five hundred forty".