78385580 has 72 divisors (see below), whose sum is σ = 203771232. Its totient is φ = 24800256.

The previous prime is 78385561. The next prime is 78385591. The reversal of 78385580 is 8558387.

It is a super-2 number, since 2×78385580² = 12288598303872800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22004 + ... + 25316.

It is an arithmetic number, because the mean of its divisors is an integer number (2830156).

Almost surely, 2^78385580 is an apocalyptic number.

78385580 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 78385580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101885616).

78385580 is an abundant number, since it is smaller than the sum of its proper divisors (125385652).

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

78385580 is a wasteful number, since it uses less digits than its factorization.

78385580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355 (or 3340 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 44.

The square root of 78385580 is about 8853.5631245279. The cubic root of 78385580 is about 427.9687504479.

The spelling of 78385580 in words is "seventy-eight million, three hundred eighty-five thousand, five hundred eighty".