78353121 has 32 divisors (see below), whose sum is σ = 132480000. Its totient is φ = 40006080.

The previous prime is 78353117. The next prime is 78353129. The reversal of 78353121 is 12135387.

It is not a de Polignac number, because 78353121 - 2² = 78353117 is a prime.

It is a super-2 number, since 2×78353121² = 12278423140881282, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78353129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10755 + ... + 16503.

It is an arithmetic number, because the mean of its divisors is an integer number (4140000).

Almost surely, 2^78353121 is an apocalyptic number.

It is an amenable number.

78353121 is a deficient number, since it is larger than the sum of its proper divisors (54126879).

78353121 is a wasteful number, since it uses less digits than its factorization.

78353121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5829.

The product of its digits is 5040, while the sum is 30.

The square root of 78353121 is about 8851.7298309427. The cubic root of 78353121 is about 427.9096691919.

The spelling of 78353121 in words is "seventy-eight million, three hundred fifty-three thousand, one hundred twenty-one".