7826766976 has 64 divisors (see below), whose sum is σ = 18757800000. Its totient is φ = 3177778176.

The previous prime is 7826766973. The next prime is 7826767027. The reversal of 7826766976 is 6796676287.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×7826766976² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (7826766971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212851 + ... + 246898.

It is an arithmetic number, because the mean of its divisors is an integer number (293090625).

Almost surely, 2^7826766976 is an apocalyptic number.

7826766976 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

7826766976 is an abundant number, since it is smaller than the sum of its proper divisors (10931033024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7826766976 is a wasteful number, since it uses less digits than its factorization.

7826766976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459789 (or 459777 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 64.

The square root of 7826766976 is about 88469.0170398654. The cubic root of 7826766976 is about 1985.4584424616.

The spelling of 7826766976 in words is "seven billion, eight hundred twenty-six million, seven hundred sixty-six thousand, nine hundred seventy-six".