83387880 has 192 divisors, whose sum is σ = 294053760. Its totient is φ = 21212928.

The previous prime is 83387849. The next prime is 83387911. The reversal of 83387880 is 8878338.

It is an interprime number because it is at equal distance from previous prime (83387849) and next prime (83387911).

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 47 ways as a sum of consecutive naturals, for example, 223374 + ... + 223746.

It is an arithmetic number, because the mean of its divisors is an integer number (1531530).

Almost surely, 2^83387880 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 83387880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147026880).

83387880 is an abundant number, since it is smaller than the sum of its proper divisors (210665880).

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

83387880 is a wasteful number, since it uses less digits than its factorization.

83387880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 83387880 is about 9131.6964469917. The cubic root of 83387880 is about 436.8855133870.

The spelling of 83387880 in words is "eighty-three million, three hundred eighty-seven thousand, eight hundred eighty".