76938225 has 48 divisors (see below), whose sum is σ = 156573312. Its totient is φ = 32463360.

The previous prime is 76938221. The next prime is 76938229. The reversal of 76938225 is 52283967.

It is an interprime number because it is at equal distance from previous prime (76938221) and next prime (76938229).

It is not a de Polignac number, because 76938225 - 2² = 76938221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76938221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1189 + ... + 12461.

It is an arithmetic number, because the mean of its divisors is an integer number (3261944).

Almost surely, 2^76938225 is an apocalyptic number.

76938225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

76938225 is an abundant number, since it is smaller than the sum of its proper divisors (79635087).

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

76938225 is a wasteful number, since it uses less digits than its factorization.

76938225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11306 (or 11301 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 76938225 is about 8771.4437238119. The cubic root of 76938225 is about 425.3182852194.

The spelling of 76938225 in words is "seventy-six million, nine hundred thirty-eight thousand, two hundred twenty-five".