78074880 has 352 divisors, whose sum is σ = 297126144. Its totient is φ = 17301504.

The previous prime is 78074851. The next prime is 78074891. The reversal of 78074880 is 8847087.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3394549 + ... + 3394571.

Almost surely, 2^78074880 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 78074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148563072).

78074880 is an abundant number, since it is smaller than the sum of its proper divisors (219051264).

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

78074880 is a wasteful number, since it uses less digits than its factorization.

78074880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 78074880 is about 8835.9990946129. Note that the first 3 decimals coincide. The cubic root of 78074880 is about 427.4025495189.

The spelling of 78074880 in words is "seventy-eight million, seventy-four thousand, eight hundred eighty".