78771264 has 224 divisors, whose sum is σ = 259445760. Its totient is φ = 20736000.

The previous prime is 78771241. The next prime is 78771269. The reversal of 78771264 is 46217787.

It is not an unprimeable number, because it can be changed into a prime (78771269) 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 31 ways as a sum of consecutive naturals, for example, 521589 + ... + 521739.

It is an arithmetic number, because the mean of its divisors is an integer number (1158240).

Almost surely, 2^78771264 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 78771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129722880).

78771264 is an abundant number, since it is smaller than the sum of its proper divisors (180674496).

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

78771264 is a wasteful number, since it uses less digits than its factorization.

78771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 199 counting only the distinct ones).

The product of its digits is 131712, while the sum is 42.

The square root of 78771264 is about 8875.3176844550. The cubic root of 78771264 is about 428.6695201502.

The spelling of 78771264 in words is "seventy-eight million, seven hundred seventy-one thousand, two hundred sixty-four".