78269760 has 112 divisors (see below), whose sum is σ = 276148800. Its totient is φ = 20869632.

The previous prime is 78269743. The next prime is 78269773. The reversal of 78269760 is 6796287.

It is a happy number.

It is a super-2 number, since 2×78269760² = 12252310660915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4111 + ... + 13169.

Almost surely, 2^78269760 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 78269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138074400).

78269760 is an abundant number, since it is smaller than the sum of its proper divisors (197879040).

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

78269760 is a wasteful number, since it uses less digits than its factorization.

78269760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9085 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 78269760 is about 8847.0198372107. The cubic root of 78269760 is about 427.7578622813.

The spelling of 78269760 in words is "seventy-eight million, two hundred sixty-nine thousand, seven hundred sixty".