77442225 has 48 divisors (see below), whose sum is σ = 154954368. Its totient is φ = 33315840.

The previous prime is 77442139. The next prime is 77442251. The reversal of 77442225 is 52224477.

It is a happy number.

It is not a de Polignac number, because 77442225 - 2¹⁹ = 76917937 is a prime.

It is a super-3 number, since 3×77442225³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4587 + ... + 13263.

It is an arithmetic number, because the mean of its divisors is an integer number (3228216).

Almost surely, 2^77442225 is an apocalyptic number.

77442225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

77442225 is an abundant number, since it is smaller than the sum of its proper divisors (77512143).

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

77442225 is a wasteful number, since it uses less digits than its factorization.

77442225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8709 counting only the distinct ones).

The product of its digits is 31360, while the sum is 33.

The square root of 77442225 is about 8800.1264195465. The cubic root of 77442225 is about 426.2449769075.

The spelling of 77442225 in words is "seventy-seven million, four hundred forty-two thousand, two hundred twenty-five".