78166407 has 32 divisors (see below), whose sum is σ = 118609920. Its totient is φ = 45360000.

The previous prime is 78166381. The next prime is 78166409. The reversal of 78166407 is 70466187.

It is not a de Polignac number, because 78166407 - 2⁶ = 78166343 is a prime.

It is a super-2 number, since 2×78166407² = 12219974366579298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78166409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111157 + ... + 111857.

It is an arithmetic number, because the mean of its divisors is an integer number (3706560).

Almost surely, 2^78166407 is an apocalyptic number.

78166407 is a deficient number, since it is larger than the sum of its proper divisors (40443513).

78166407 is a wasteful number, since it uses less digits than its factorization.

78166407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855.

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 78166407 is about 8841.1767881883. The cubic root of 78166407 is about 427.5694986357.

The spelling of 78166407 in words is "seventy-eight million, one hundred sixty-six thousand, four hundred seven".