78399360 has 256 divisors, whose sum is σ = 299880000. Its totient is φ = 19243008.

The previous prime is 78399353. The next prime is 78399379. The reversal of 78399360 is 6399387.

It is a happy number.

It is a super-2 number, since 2×78399360² = 12292919296819200, 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 31 ways as a sum of consecutive naturals, for example, 224466 + ... + 224814.

Almost surely, 2^78399360 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 78399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149940000).

78399360 is an abundant number, since it is smaller than the sum of its proper divisors (221480640).

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

78399360 is a wasteful number, since it uses less digits than its factorization.

78399360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 78399360 is about 8854.3413080816. The cubic root of 78399360 is about 427.9938276106.

The spelling of 78399360 in words is "seventy-eight million, three hundred ninety-nine thousand, three hundred sixty".