78053664 has 144 divisors (see below), whose sum is σ = 235744992. Its totient is φ = 22523904.

The previous prime is 78053663. The next prime is 78053671. The reversal of 78053664 is 46635087.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78053663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275667 + ... + 275949.

It is an arithmetic number, because the mean of its divisors is an integer number (1637118).

Almost surely, 2^78053664 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 78053664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117872496).

78053664 is an abundant number, since it is smaller than the sum of its proper divisors (157691328).

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

78053664 is a wasteful number, since it uses less digits than its factorization.

78053664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 78053664 is about 8834.7984696879. The cubic root of 78053664 is about 427.3638320126.

The spelling of 78053664 in words is "seventy-eight million, fifty-three thousand, six hundred sixty-four".