78507520 has 160 divisors (see below), whose sum is σ = 232360128. Its totient is φ = 24772608.

The previous prime is 78507491. The next prime is 78507521. The reversal of 78507520 is 2570587.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×78507520³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78507521) 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, 232792 + ... + 233128.

Almost surely, 2^78507520 is an apocalyptic number.

78507520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116180064).

78507520 is an abundant number, since it is smaller than the sum of its proper divisors (153852608).

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

78507520 is a wasteful number, since it uses less digits than its factorization.

78507520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The square root of 78507520 is about 8860.4469413230. The cubic root of 78507520 is about 428.1905577055.

The spelling of 78507520 in words is "seventy-eight million, five hundred seven thousand, five hundred twenty".