78388000 has 48 divisors (see below), whose sum is σ = 192609144. Its totient is φ = 31353600.

The previous prime is 78387997. The next prime is 78388001. The reversal of 78388000 is 88387.

It can be written as a sum of positive squares in 4 ways, for example, as 18974736 + 59413264 = 4356^2 + 7708^2 .

It is a super-2 number, since 2×78388000² = 12289357088000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78388001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5799 + ... + 13798.

Almost surely, 2^78388000 is an apocalyptic number.

It is an amenable number.

78388000 is an abundant number, since it is smaller than the sum of its proper divisors (114221144).

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

78388000 is a wasteful number, since it uses less digits than its factorization.

78388000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19622 (or 19604 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 78388000 is about 8853.6997916125. The cubic root of 78388000 is about 427.9731546326.

The spelling of 78388000 in words is "seventy-eight million, three hundred eighty-eight thousand".