77856090 has 64 divisors (see below), whose sum is σ = 213083136. Its totient is φ = 18035712.

The previous prime is 77856061. The next prime is 77856109. The reversal of 77856090 is 9065877.

77856090 = T₁₉₅ + T₁₉₆ + ... + T₇₇₉.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 759 + ... + 12501.

It is an arithmetic number, because the mean of its divisors is an integer number (3329424).

Almost surely, 2^77856090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77856090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106541568).

77856090 is an abundant number, since it is smaller than the sum of its proper divisors (135227046).

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

77856090 is a wasteful number, since it uses less digits than its factorization.

77856090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11783.

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 77856090 is about 8823.6098055161. The cubic root of 77856090 is about 427.0029378924.

The spelling of 77856090 in words is "seventy-seven million, eight hundred fifty-six thousand, ninety".