78203664 has 160 divisors (see below), whose sum is σ = 279982080. Its totient is φ = 20304000.

The previous prime is 78203623. The next prime is 78203701. The reversal of 78203664 is 46630287.

It is a super-2 number, since 2×78203664² = 12231626126049792, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32089 + ... + 34439.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2^78203664 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 78203664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139991040).

78203664 is an abundant number, since it is smaller than the sum of its proper divisors (201778416).

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

78203664 is a wasteful number, since it uses less digits than its factorization.

78203664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2386 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 78203664 is about 8843.2835530701. The cubic root of 78203664 is about 427.6374196568.

The spelling of 78203664 in words is "seventy-eight million, two hundred three thousand, six hundred sixty-four".