82764879201 has 24 divisors (see below), whose sum is σ = 120798025920. Its totient is φ = 54602589600.

The previous prime is 82764879191. The next prime is 82764879227. The reversal of 82764879201 is 10297846728.

It is a happy number.

82764879201 is a `hidden beast` number, since 8 + 2 + 76 + 487 + 92 + 0 + 1 = 666.

It is not a de Polignac number, because 82764879201 - 2¹⁰ = 82764878177 is a prime.

It is a super-2 number, since 2×82764879201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82764871201) 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, 325491 + ... + 521031.

It is an arithmetic number, because the mean of its divisors is an integer number (5033251080).

Almost surely, 2^82764879201 is an apocalyptic number.

It is an amenable number.

82764879201 is a deficient number, since it is larger than the sum of its proper divisors (38033146719).

82764879201 is a wasteful number, since it uses less digits than its factorization.

82764879201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196037 (or 196034 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 82764879201 in words is "eighty-two billion, seven hundred sixty-four million, eight hundred seventy-nine thousand, two hundred one".