78698400 has 216 divisors, whose sum is σ = 282606912. Its totient is φ = 19008000.

The previous prime is 78698383. The next prime is 78698407. The reversal of 78698400 is 489687.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (78698407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 290265 + ... + 290535.

Almost surely, 2^78698400 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 78698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141303456).

78698400 is an abundant number, since it is smaller than the sum of its proper divisors (203908512).

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

78698400 is a wasteful number, since it uses less digits than its factorization.

78698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 78698400 is about 8871.2118676086. The cubic root of 78698400 is about 428.5373052196.

The spelling of 78698400 in words is "seventy-eight million, six hundred ninety-eight thousand, four hundred".