77228190 has 96 divisors (see below), whose sum is σ = 218181600. Its totient is φ = 18839808.

The previous prime is 77228171. The next prime is 77228197. The reversal of 77228190 is 9182277.

It is a super-2 number, since 2×77228190² = 11928386661352200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77228197) 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 47 ways as a sum of consecutive naturals, for example, 174109 + ... + 174551.

It is an arithmetic number, because the mean of its divisors is an integer number (2272725).

Almost surely, 2^77228190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77228190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109090800).

77228190 is an abundant number, since it is smaller than the sum of its proper divisors (140953410).

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

77228190 is a wasteful number, since it uses less digits than its factorization.

77228190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 77228190 is about 8787.9571004870. The cubic root of 77228190 is about 425.8519289659.

The spelling of 77228190 in words is "seventy-seven million, two hundred twenty-eight thousand, one hundred ninety".