78046560 has 144 divisors (see below), whose sum is σ = 269955504. Its totient is φ = 20530176.

The previous prime is 78046559. The next prime is 78046583. The reversal of 78046560 is 6564087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119194 + ... + 119846.

It is an arithmetic number, because the mean of its divisors is an integer number (1874691).

Almost surely, 2^78046560 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 78046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134977752).

78046560 is an abundant number, since it is smaller than the sum of its proper divisors (191908944).

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

78046560 is a wasteful number, since it uses less digits than its factorization.

78046560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 78046560 is about 8834.3964140172. The cubic root of 78046560 is about 427.3508662118.

It can be divided in two parts, 78046 and 560, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 78046560 in words is "seventy-eight million, forty-six thousand, five hundred sixty".