82769652 has 72 divisors (see below), whose sum is σ = 244974912. Its totient is φ = 23068800.

The previous prime is 82769647. The next prime is 82769653. The reversal of 82769652 is 25696728.

It is a super-2 number, since 2×82769652² = 13701630584402208, which contains 22 as substring.

Its product of digits (362880) is a multiple of the sum of its prime divisors (8064).

It is a junction number, because it is equal to n+sod(n) for n = 82769598 and 82769607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82769653) 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, 6327 + ... + 14337.

Almost surely, 2^82769652 is an apocalyptic number.

82769652 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82769652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122487456).

82769652 is an abundant number, since it is smaller than the sum of its proper divisors (162205260).

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

82769652 is a wasteful number, since it uses less digits than its factorization.

82769652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8069 (or 8064 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 82769652 is about 9097.7828068162. The cubic root of 82769652 is about 435.8031614353.

The spelling of 82769652 in words is "eighty-two million, seven hundred sixty-nine thousand, six hundred fifty-two".