77738220 has 144 divisors (see below), whose sum is σ = 272563200. Its totient is φ = 17566848.

The previous prime is 77738203. The next prime is 77738231. The reversal of 77738220 is 2283777.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 129481 + ... + 130079.

It is an arithmetic number, because the mean of its divisors is an integer number (1892800).

Almost surely, 2^77738220 is an apocalyptic number.

77738220 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77738220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

77738220 is an abundant number, since it is smaller than the sum of its proper divisors (194824980).

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

77738220 is a wasteful number, since it uses less digits than its factorization.

77738220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 77738220 is about 8816.9280364535. The cubic root of 77738220 is about 426.7873424389.

The spelling of 77738220 in words is "seventy-seven million, seven hundred thirty-eight thousand, two hundred twenty".