83476980 has 90 divisors (see below), whose sum is σ = 263029074. Its totient is φ = 22162464.

The previous prime is 83476979. The next prime is 83477003. The reversal of 83476980 is 8967438.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 66781584 + 16695396 = 8172^2 + 4086^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 367627 + ... + 367853.

Almost surely, 2^83476980 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 83476980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131514537).

83476980 is an abundant number, since it is smaller than the sum of its proper divisors (179552094).

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

83476980 is a wasteful number, since it uses less digits than its factorization.

83476980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 83476980 is about 9136.5737560641. The cubic root of 83476980 is about 437.0410621435.

Multiplying 83476980 by its sum of digits (45), we get a square (3756464100 = 61290²).

83476980 divided by its sum of digits (45) gives a square (1855044 = 1362²).

The spelling of 83476980 in words is "eighty-three million, four hundred seventy-six thousand, nine hundred eighty".