78578148 has 144 divisors (see below), whose sum is σ = 225820224. Its totient is φ = 21012480.

The previous prime is 78578141. The next prime is 78578161. The reversal of 78578148 is 84187587.

It is a super-3 number, since 3×78578148³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 78578097 and 78578106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78578141) 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, 810036 + ... + 810132.

It is an arithmetic number, because the mean of its divisors is an integer number (1568196).

Almost surely, 2^78578148 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 78578148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112910112).

78578148 is an abundant number, since it is smaller than the sum of its proper divisors (147242076).

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

78578148 is a wasteful number, since it uses less digits than its factorization.

78578148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its digits is 501760, while the sum is 48.

The square root of 78578148 is about 8864.4316230653. The cubic root of 78578148 is about 428.3189240847.

The spelling of 78578148 in words is "seventy-eight million, five hundred seventy-eight thousand, one hundred forty-eight".