78387408 has 240 divisors, whose sum is σ = 263233152. Its totient is φ = 21504000.

The previous prime is 78387389. The next prime is 78387457. The reversal of 78387408 is 80478387.

It is a super-2 number, since 2×78387408² = 12289171465916928, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104013 + ... + 1104083.

Almost surely, 2^78387408 is an apocalyptic number.

78387408 is the 5112-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78387408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

78387408 is an abundant number, since it is smaller than the sum of its proper divisors (184845744).

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

78387408 is a wasteful number, since it uses less digits than its factorization.

78387408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 78387408 is about 8853.6663591983. Note that the first 3 decimals coincide. The cubic root of 78387408 is about 427.9720772537.

The spelling of 78387408 in words is "seventy-eight million, three hundred eighty-seven thousand, four hundred eight".