788120541 has 24 divisors (see below), whose sum is σ = 1229939256. Its totient is φ = 483425280.

The previous prime is 788120539. The next prime is 788120587. The reversal of 788120541 is 145021887.

It can be written as a sum of positive squares in 4 ways, for example, as 16892100 + 771228441 = 4110^2 + 27771^2 .

It is not a de Polignac number, because 788120541 - 2¹ = 788120539 is a prime.

It is a super-2 number, since 2×788120541² = 1242267974292265362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 788120496 and 788120505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (788120521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25861 + ... + 47381.

It is an arithmetic number, because the mean of its divisors is an integer number (51247469).

Almost surely, 2^788120541 is an apocalyptic number.

It is an amenable number.

788120541 is a deficient number, since it is larger than the sum of its proper divisors (441818715).

788120541 is a wasteful number, since it uses less digits than its factorization.

788120541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21853 (or 21850 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 788120541 is about 28073.4846607969. The cubic root of 788120541 is about 923.6998694935.

The spelling of 788120541 in words is "seven hundred eighty-eight million, one hundred twenty thousand, five hundred forty-one".