78767964 has 144 divisors (see below), whose sum is σ = 231154560. Its totient is φ = 23250240.

The previous prime is 78767963. The next prime is 78767971. The reversal of 78767964 is 46976787.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 78767964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78767963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 566607 + ... + 566745.

It is an arithmetic number, because the mean of its divisors is an integer number (1605240).

Almost surely, 2^78767964 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 78767964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115577280).

78767964 is an abundant number, since it is smaller than the sum of its proper divisors (152386596).

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

78767964 is a wasteful number, since it uses less digits than its factorization.

78767964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 208 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 54.

The square root of 78767964 is about 8875.1317736696. The cubic root of 78767964 is about 428.6635339183.

The spelling of 78767964 in words is "seventy-eight million, seven hundred sixty-seven thousand, nine hundred sixty-four".