78086400 has 324 divisors, whose sum is σ = 303386832. Its totient is φ = 17633280.

The previous prime is 78086383. The next prime is 78086419. The reversal of 78086400 is 468087.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940759 + ... + 940841.

Almost surely, 2^78086400 is an apocalyptic number.

78086400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151693416).

78086400 is an abundant number, since it is smaller than the sum of its proper divisors (225300432).

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

78086400 is a wasteful number, since it uses less digits than its factorization.

78086400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 78086400 is about 8836.6509493133. The cubic root of 78086400 is about 427.4235696610.

The spelling of 78086400 in words is "seventy-eight million, eighty-six thousand, four hundred".