78366090 has 128 divisors (see below), whose sum is σ = 221771520. Its totient is φ = 17510400.

The previous prime is 78366053. The next prime is 78366097. The reversal of 78366090 is 9066387.

It is a super-2 number, since 2×78366090² = 12282488123776200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78366097) 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 63 ways as a sum of consecutive naturals, for example, 342096 + ... + 342324.

It is an arithmetic number, because the mean of its divisors is an integer number (1732590).

Almost surely, 2^78366090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78366090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110885760).

78366090 is an abundant number, since it is smaller than the sum of its proper divisors (143405430).

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

78366090 is a wasteful number, since it uses less digits than its factorization.

78366090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 78366090 is about 8852.4623693072. The cubic root of 78366090 is about 427.9332770766.

The spelling of 78366090 in words is "seventy-eight million, three hundred sixty-six thousand, ninety".