78377600417 has 2 divisors, whose sum is σ = 78377600418. Its totient is φ = 78377600416.

The previous prime is 78377600369. The next prime is 78377600443. The reversal of 78377600417 is 71400677387.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76750607521 + 1626992896 = 277039^2 + 40336^2 .

It is a cyclic number.

It is not a de Polignac number, because 78377600417 - 2¹² = 78377596321 is a prime.

It is a super-2 number, since 2×78377600417² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (78377600447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 39188800208 + 39188800209.

It is an arithmetic number, because the mean of its divisors is an integer number (39188800209).

Almost surely, 2^78377600417 is an apocalyptic number.

It is an amenable number.

78377600417 is a deficient number, since it is larger than the sum of its proper divisors (1).

78377600417 is an equidigital number, since it uses as much as digits as its factorization.

78377600417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1382976, while the sum is 50.

The spelling of 78377600417 in words is "seventy-eight billion, three hundred seventy-seven million, six hundred thousand, four hundred seventeen".