78406016 has 32 divisors (see below), whose sum is σ = 168218400. Its totient is φ = 36186624.

The previous prime is 78405983. The next prime is 78406021. The reversal of 78406016 is 61060487.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×78406016² = 12295006689984512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21896 + ... + 25223.

It is an arithmetic number, because the mean of its divisors is an integer number (5256825).

Almost surely, 2^78406016 is an apocalyptic number.

It is an amenable number.

78406016 is an abundant number, since it is smaller than the sum of its proper divisors (89812384).

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

78406016 is a wasteful number, since it uses less digits than its factorization.

78406016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47146 (or 47134 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 78406016 is about 8854.7171609261. The cubic root of 78406016 is about 428.0059393009.

The spelling of 78406016 in words is "seventy-eight million, four hundred six thousand, sixteen".