83819792 has 120 divisors (see below), whose sum is σ = 211191840. Its totient is φ = 31933440.

The previous prime is 83819783. The next prime is 83819807. The reversal of 83819792 is 29791838.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253067 + ... + 253397.

It is an arithmetic number, because the mean of its divisors is an integer number (1759932).

Almost surely, 2^83819792 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 83819792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105595920).

83819792 is an abundant number, since it is smaller than the sum of its proper divisors (127372048).

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

83819792 is a wasteful number, since it uses less digits than its factorization.

83819792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 376 counting only the distinct ones).

The product of its digits is 217728, while the sum is 47.

The square root of 83819792 is about 9155.3149590825. The cubic root of 83819792 is about 437.6385054801.

The spelling of 83819792 in words is "eighty-three million, eight hundred nineteen thousand, seven hundred ninety-two".