83780352 has 288 divisors, whose sum is σ = 282562560. Its totient is φ = 24330240.

The previous prime is 83780341. The next prime is 83780353. The reversal of 83780352 is 25308738.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83780353) 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, 2702577 + ... + 2702607.

It is an arithmetic number, because the mean of its divisors is an integer number (981120).

Almost surely, 2^83780352 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 83780352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141281280).

83780352 is an abundant number, since it is smaller than the sum of its proper divisors (198782208).

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

83780352 is a wasteful number, since it uses less digits than its factorization.

83780352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 83780352 is about 9153.1607655498. The cubic root of 83780352 is about 437.5698535537.

83780352 divided by its sum of digits (36) gives a palindrome (2327232).

The spelling of 83780352 in words is "eighty-three million, seven hundred eighty thousand, three hundred fifty-two".