78772480 has 144 divisors (see below), whose sum is σ = 206035200. Its totient is φ = 28753920.

The previous prime is 78772471. The next prime is 78772481. The reversal of 78772480 is 8427787.

It is not an unprimeable number, because it can be changed into a prime (78772481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 997081 + ... + 997159.

It is an arithmetic number, because the mean of its divisors is an integer number (1430800).

Almost surely, 2^78772480 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 78772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103017600).

78772480 is an abundant number, since it is smaller than the sum of its proper divisors (127262720).

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

78772480 is a wasteful number, since it uses less digits than its factorization.

78772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 43.

The square root of 78772480 is about 8875.3861887807. The cubic root of 78772480 is about 428.6717259438.

The spelling of 78772480 in words is "seventy-eight million, seven hundred seventy-two thousand, four hundred eighty".