78077268 has 72 divisors (see below), whose sum is σ = 203164416. Its totient is φ = 25272000.

The previous prime is 78077257. The next prime is 78077269. The reversal of 78077268 is 86277087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78077269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287973 + ... + 288243.

It is an arithmetic number, because the mean of its divisors is an integer number (2821728).

Almost surely, 2^78077268 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 78077268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101582208).

78077268 is an abundant number, since it is smaller than the sum of its proper divisors (125087148).

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

78077268 is a wasteful number, since it uses less digits than its factorization.

78077268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 78077268 is about 8836.1342226112. The cubic root of 78077268 is about 427.4069069891.

The spelling of 78077268 in words is "seventy-eight million, seventy-seven thousand, two hundred sixty-eight".