77225538 has 64 divisors (see below), whose sum is σ = 177085440. Its totient is φ = 22254912.

The previous prime is 77225531. The next prime is 77225539. The reversal of 77225538 is 83552277.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 77225496 and 77225505.

It is not an unprimeable number, because it can be changed into a prime (77225531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158331 + ... + 158817.

It is an arithmetic number, because the mean of its divisors is an integer number (2766960).

Almost surely, 2^77225538 is an apocalyptic number.

77225538 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77225538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88542720).

77225538 is an abundant number, since it is smaller than the sum of its proper divisors (99859902).

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

77225538 is a wasteful number, since it uses less digits than its factorization.

77225538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631.

The product of its digits is 117600, while the sum is 39.

The square root of 77225538 is about 8787.8062108811. The cubic root of 77225538 is about 425.8470543545.

The spelling of 77225538 in words is "seventy-seven million, two hundred twenty-five thousand, five hundred thirty-eight".