83629780 has 48 divisors (see below), whose sum is σ = 192268944. Its totient is φ = 30366720.

The previous prime is 83629769. The next prime is 83629781. The reversal of 83629780 is 8792638.

It can be written as a sum of positive squares in 8 ways, for example, as 24462916 + 59166864 = 4946^2 + 7692^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83629781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13224 + ... + 18496.

It is an arithmetic number, because the mean of its divisors is an integer number (4005603).

Almost surely, 2^83629780 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 83629780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96134472).

83629780 is an abundant number, since it is smaller than the sum of its proper divisors (108639164).

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

83629780 is a wasteful number, since it uses less digits than its factorization.

83629780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 83629780 is about 9144.9319297631. The cubic root of 83629780 is about 437.3075594463.

The spelling of 83629780 in words is "eighty-three million, six hundred twenty-nine thousand, seven hundred eighty".