77916090 has 32 divisors (see below), whose sum is σ = 213713280. Its totient is φ = 17809344.

The previous prime is 77916089. The next prime is 77916103. The reversal of 77916090 is 9061977.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185305 + ... + 185724.

It is an arithmetic number, because the mean of its divisors is an integer number (6678540).

Almost surely, 2^77916090 is an apocalyptic number.

77916090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

77916090 is an abundant number, since it is smaller than the sum of its proper divisors (135797190).

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

77916090 is a wasteful number, since it uses less digits than its factorization.

77916090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371046.

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 77916090 is about 8827.0091197415. The cubic root of 77916090 is about 427.1126000382.

The spelling of 77916090 in words is "seventy-seven million, nine hundred sixteen thousand, ninety".