78923520 has 432 divisors, whose sum is σ = 321414912. Its totient is φ = 17694720.

The previous prime is 78923513. The next prime is 78923527. The reversal of 78923520 is 2532987.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78923513) and next prime (78923527).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78923527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545905 + ... + 2545935.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 2^78923520 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 78923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160707456).

78923520 is an abundant number, since it is smaller than the sum of its proper divisors (242491392).

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

78923520 is a wasteful number, since it uses less digits than its factorization.

78923520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 78923520 is about 8883.8910394038. The cubic root of 78923520 is about 428.9455323940.

The spelling of 78923520 in words is "seventy-eight million, nine hundred twenty-three thousand, five hundred twenty".