78300864 has 112 divisors (see below), whose sum is σ = 232806240. Its totient is φ = 25804800.

The previous prime is 78300851. The next prime is 78300869. The reversal of 78300864 is 46800387.

It is a super-2 number, since 2×78300864² = 12262050606292992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (78300869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195064 + ... + 195464.

Almost surely, 2^78300864 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 78300864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116403120).

78300864 is an abundant number, since it is smaller than the sum of its proper divisors (154505376).

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

78300864 is a wasteful number, since it uses less digits than its factorization.

78300864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78300864 is about 8848.7775426892. Note that the first 3 decimals coincide. The cubic root of 78300864 is about 427.8145177018.

The spelling of 78300864 in words is "seventy-eight million, three hundred thousand, eight hundred sixty-four".