78579270 has 384 divisors, whose sum is σ = 291133440. Its totient is φ = 14192640.

The previous prime is 78579251. The next prime is 78579271. The reversal of 78579270 is 7297587.

78579270 is a `hidden beast` number, since 7 + 8 + 579 + 2 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78579271) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2709616 + ... + 2709644.

It is an arithmetic number, because the mean of its divisors is an integer number (758160).

Almost surely, 2^78579270 is an apocalyptic number.

78579270 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78579270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145566720).

78579270 is an abundant number, since it is smaller than the sum of its proper divisors (212554170).

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

78579270 is a wasteful number, since it uses less digits than its factorization.

78579270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 78579270 is about 8864.4949094689. The cubic root of 78579270 is about 428.3209626988.

The spelling of 78579270 in words is "seventy-eight million, five hundred seventy-nine thousand, two hundred seventy".