78953664 has 112 divisors (see below), whose sum is σ = 229697280. Its totient is φ = 23823360.

The previous prime is 78953663. The next prime is 78953669. The reversal of 78953664 is 46635987.

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

It is not an unprimeable number, because it can be changed into a prime (78953663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83434 + ... + 84374.

Almost surely, 2^78953664 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 78953664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114848640).

78953664 is an abundant number, since it is smaller than the sum of its proper divisors (150743616).

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

78953664 is a wasteful number, since it uses less digits than its factorization.

78953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 988 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 78953664 is about 8885.5874313407. The cubic root of 78953664 is about 429.0001358393. Note that the first 3 decimals are identical.

The spelling of 78953664 in words is "seventy-eight million, nine hundred fifty-three thousand, six hundred sixty-four".