78224580 has 180 divisors, whose sum is σ = 278340972. Its totient is φ = 17781120.

The previous prime is 78224579. The next prime is 78224581. The reversal of 78224580 is 8542287.

It is a happy number.

78224580 is a `hidden beast` number, since 78 + 2 + 2 + 4 + 580 = 666.

It is an interprime number because it is at equal distance from previous prime (78224579) and next prime (78224581).

It can be written as a sum of positive squares in 2 ways, for example, as 10458756 + 67765824 = 3234^2 + 8232^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×78224580² = 12238169832352800, which contains 22 as substring.

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 (78224581) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 432090 + ... + 432270.

Almost surely, 2^78224580 is an apocalyptic number.

78224580 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 78224580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139170486).

78224580 is an abundant number, since it is smaller than the sum of its proper divisors (200116392).

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

78224580 is a wasteful number, since it uses less digits than its factorization.

78224580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 78224580 is about 8844.4660664169. The cubic root of 78224580 is about 427.6755409183.

The spelling of 78224580 in words is "seventy-eight million, two hundred twenty-four thousand, five hundred eighty".