77363220 has 96 divisors (see below), whose sum is σ = 237758976. Its totient is φ = 18640000.

The previous prime is 77363177. The next prime is 77363227. The reversal of 77363220 is 2236377.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77363227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165427 + ... + 165893.

It is an arithmetic number, because the mean of its divisors is an integer number (2476656).

Almost surely, 2^77363220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77363220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118879488).

77363220 is an abundant number, since it is smaller than the sum of its proper divisors (160395756).

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

77363220 is a wasteful number, since it uses less digits than its factorization.

77363220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 77363220 is about 8795.6364181337. The cubic root of 77363220 is about 426.0999787381.

Adding to 77363220 its reverse (2236377), we get a palindrome (79599597).

The spelling of 77363220 in words is "seventy-seven million, three hundred sixty-three thousand, two hundred twenty".