78329664 has 84 divisors (see below), whose sum is σ = 256605024. Its totient is φ = 22378752.

The previous prime is 78329623. The next prime is 78329677. The reversal of 78329664 is 46692387.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×78329664² = 12271072524705792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5682 + ... + 13745.

Almost surely, 2^78329664 is an apocalyptic number.

It is an amenable number.

78329664 is an abundant number, since it is smaller than the sum of its proper divisors (178275360).

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

78329664 is a wasteful number, since it uses less digits than its factorization.

78329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19452 (or 19439 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 78329664 is about 8850.4047365078. The cubic root of 78329664 is about 427.8669630482.

The spelling of 78329664 in words is "seventy-eight million, three hundred twenty-nine thousand, six hundred sixty-four".