78024960 has 216 divisors, whose sum is σ = 291282264. Its totient is φ = 19169280.

The previous prime is 78024949. The next prime is 78024967. The reversal of 78024960 is 6942087.

It can be written as a sum of positive squares in 4 ways, for example, as 20736 + 78004224 = 144^2 + 8832^2 .

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

It is not an unprimeable number, because it can be changed into a prime (78024967) 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, 149500 + ... + 150020.

It is an arithmetic number, because the mean of its divisors is an integer number (1348529).

Almost surely, 2^78024960 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 78024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145641132).

78024960 is an abundant number, since it is smaller than the sum of its proper divisors (213257304).

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

78024960 is a wasteful number, since it uses less digits than its factorization.

78024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78024960 is about 8833.1738350380. The cubic root of 78024960 is about 427.3114383353.

The spelling of 78024960 in words is "seventy-eight million, twenty-four thousand, nine hundred sixty".