78134880 has 192 divisors, whose sum is σ = 261273600. Its totient is φ = 19599360.

The previous prime is 78134863. The next prime is 78134909. The reversal of 78134880 is 8843187.

It is a super-2 number, since 2×78134880² = 12210118945228800, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 877876 + ... + 877964.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^78134880 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 78134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

78134880 is an abundant number, since it is smaller than the sum of its proper divisors (183138720).

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

78134880 is a wasteful number, since it uses less digits than its factorization.

78134880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 78134880 is about 8839.3936443627. The cubic root of 78134880 is about 427.5120067761.

The spelling of 78134880 in words is "seventy-eight million, one hundred thirty-four thousand, eight hundred eighty".