77790090 has 64 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 17562432.

The previous prime is 77790017. The next prime is 77790091. The reversal of 77790090 is 9009777.

It is not an unprimeable number, because it can be changed into a prime (77790091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15199 + ... + 19661.

It is an arithmetic number, because the mean of its divisors is an integer number (3374784).

Almost surely, 2^77790090 is an apocalyptic number.

77790090 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77790090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

77790090 is an abundant number, since it is smaller than the sum of its proper divisors (138196086).

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

77790090 is a wasteful number, since it uses less digits than its factorization.

77790090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563.

The product of its (nonzero) digits is 27783, while the sum is 39.

The square root of 77790090 is about 8819.8690466469. The cubic root of 77790090 is about 426.8822444387.

The spelling of 77790090 in words is "seventy-seven million, seven hundred ninety thousand, ninety".