83776720 has 40 divisors (see below), whose sum is σ = 196621344. Its totient is φ = 33194112.

The previous prime is 83776703. The next prime is 83776747. The reversal of 83776720 is 2767738.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3667 + ... + 13453.

Almost surely, 2^83776720 is an apocalyptic number.

83776720 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 83776720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98310672).

83776720 is an abundant number, since it is smaller than the sum of its proper divisors (112844624).

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

83776720 is a wasteful number, since it uses less digits than its factorization.

83776720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9907 (or 9901 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 40.

The square root of 83776720 is about 9152.9623619897. The cubic root of 83776720 is about 437.5635303660.

The spelling of 83776720 in words is "eighty-three million, seven hundred seventy-six thousand, seven hundred twenty".