78782880 has 192 divisors, whose sum is σ = 277820928. Its totient is φ = 18600960.

The previous prime is 78782867. The next prime is 78782881. The reversal of 78782880 is 8828787.

It is a super-3 number, since 3×78782880³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (78782881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 226867 + ... + 227213.

It is an arithmetic number, because the mean of its divisors is an integer number (1446984).

Almost surely, 2^78782880 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 78782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138910464).

78782880 is an abundant number, since it is smaller than the sum of its proper divisors (199038048).

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

78782880 is a wasteful number, since it uses less digits than its factorization.

78782880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The square root of 78782880 is about 8875.9720594423. The cubic root of 78782880 is about 428.6905903568.

The spelling of 78782880 in words is "seventy-eight million, seven hundred eighty-two thousand, eight hundred eighty".