83786880 has 192 divisors, whose sum is σ = 285583680. Its totient is φ = 20889600.

The previous prime is 83786869. The next prime is 83786881. The reversal of 83786880 is 8868738.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (83786881) 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, 554805 + ... + 554955.

It is an arithmetic number, because the mean of its divisors is an integer number (1487415).

Almost surely, 2^83786880 is an apocalyptic number.

83786880 is a gapful number since it is divisible by the number (80) 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 83786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142791840).

83786880 is an abundant number, since it is smaller than the sum of its proper divisors (201796800).

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

83786880 is a wasteful number, since it uses less digits than its factorization.

83786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 83786880 is about 9153.5173567323. The cubic root of 83786880 is about 437.5812181189.

It can be divided in two parts, 83786 and 880, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 83786880 in words is "eighty-three million, seven hundred eighty-six thousand, eight hundred eighty".