78845664 has 96 divisors (see below), whose sum is σ = 216760320. Its totient is φ = 25062912.

The previous prime is 78845651. The next prime is 78845671. The reversal of 78845664 is 46654887.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1290240) is a multiple of the sum of its prime divisors (384).

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, 353457 + ... + 353679.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 2^78845664 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 78845664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108380160).

78845664 is an abundant number, since it is smaller than the sum of its proper divisors (137914656).

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

78845664 is a wasteful number, since it uses less digits than its factorization.

78845664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 78845664 is about 8879.5080944836. The cubic root of 78845664 is about 428.8044381177.

The spelling of 78845664 in words is "seventy-eight million, eight hundred forty-five thousand, six hundred sixty-four".