78571080 has 256 divisors, whose sum is σ = 315648000. Its totient is φ = 16982784.

The previous prime is 78571057. The next prime is 78571123. The reversal of 78571080 is 8017587.

78571080 is a `hidden beast` number, since 7 + 8 + 571 + 0 + 80 = 666.

It is a super-2 number, since 2×78571080² = 12346829224732800, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 143367 + ... + 143913.

It is an arithmetic number, because the mean of its divisors is an integer number (1233000).

Almost surely, 2^78571080 is an apocalyptic number.

78571080 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 78571080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157824000).

78571080 is an abundant number, since it is smaller than the sum of its proper divisors (237076920).

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

78571080 is a wasteful number, since it uses less digits than its factorization.

78571080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 78571080 is about 8864.0329421771. The cubic root of 78571080 is about 428.3060814603.

The spelling of 78571080 in words is "seventy-eight million, five hundred seventy-one thousand, eighty".