8077826952 has 128 divisors (see below), whose sum is σ = 24204096000. Its totient is φ = 2481408000.

The previous prime is 8077826951. The next prime is 8077826959. The reversal of 8077826952 is 2596287708.

It is a happy number.

It is a super-2 number, since 2×8077826952² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8077826951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2016952 + ... + 2020952.

It is an arithmetic number, because the mean of its divisors is an integer number (189094500).

Almost surely, 2^8077826952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8077826952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12102048000).

8077826952 is an abundant number, since it is smaller than the sum of its proper divisors (16126269048).

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

8077826952 is a wasteful number, since it uses less digits than its factorization.

8077826952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4748 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 8077826952 is about 89876.7319833115. The cubic root of 8077826952 is about 2006.4646608989.

The spelling of 8077826952 in words is "eight billion, seventy-seven million, eight hundred twenty-six thousand, nine hundred fifty-two".