780135993 has 24 divisors (see below), whose sum is σ = 1386909888. Its totient is φ = 411499872.

The previous prime is 780135977. The next prime is 780136013. The reversal of 780135993 is 399531087.

It is a happy number.

It is not a de Polignac number, because 780135993 - 2⁴ = 780135977 is a prime.

It is a super-2 number, since 2×780135993² = 1217224335148192098, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (780135943) 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, 475455 + ... + 477092.

It is an arithmetic number, because the mean of its divisors is an integer number (57787912).

Almost surely, 2^780135993 is an apocalyptic number.

It is an amenable number.

780135993 is a deficient number, since it is larger than the sum of its proper divisors (606773895).

780135993 is a wasteful number, since it uses less digits than its factorization.

780135993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952573 (or 952570 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 780135993 is about 27930.9146466778. The cubic root of 780135993 is about 920.5699024881.

The spelling of 780135993 in words is "seven hundred eighty million, one hundred thirty-five thousand, nine hundred ninety-three".