83764080 has 120 divisors (see below), whose sum is σ = 282964032. Its totient is φ = 22205952.

The previous prime is 83764073. The next prime is 83764081. The reversal of 83764080 is 8046738.

83764080 is a `hidden beast` number, since 8 + 3 + 7 + 640 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83764081) 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, 228057 + ... + 228423.

Almost surely, 2^83764080 is an apocalyptic number.

83764080 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 83764080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141482016).

83764080 is an abundant number, since it is smaller than the sum of its proper divisors (199199952).

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

83764080 is a wasteful number, since it uses less digits than its factorization.

83764080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 83764080 is about 9152.2718491094. The cubic root of 83764080 is about 437.5415231337.

The spelling of 83764080 in words is "eighty-three million, seven hundred sixty-four thousand, eighty".