77193228 has 72 divisors (see below), whose sum is σ = 213563952. Its totient is φ = 21630336.

The previous prime is 77193227. The next prime is 77193239. The reversal of 77193228 is 82239177.

It is not an unprimeable number, because it can be changed into a prime (77193227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29926 + ... + 32402.

It is an arithmetic number, because the mean of its divisors is an integer number (2966166).

Almost surely, 2^77193228 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 77193228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106781976).

77193228 is an abundant number, since it is smaller than the sum of its proper divisors (136370724).

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

77193228 is a wasteful number, since it uses less digits than its factorization.

77193228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2542 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 77193228 is about 8785.9676757885. The cubic root of 77193228 is about 425.7876567425.

It can be divided in two parts, 77193 and 228, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 77193228 in words is "seventy-seven million, one hundred ninety-three thousand, two hundred twenty-eight".