83754720 has 216 divisors, whose sum is σ = 332756424. Its totient is φ = 19127808.

The previous prime is 83754701. The next prime is 83754721. The reversal of 83754720 is 2745738.

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 (83754721) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69967 + ... + 71153.

It is an arithmetic number, because the mean of its divisors is an integer number (1540539).

Almost surely, 2^83754720 is an apocalyptic number.

83754720 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 83754720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166378212).

83754720 is an abundant number, since it is smaller than the sum of its proper divisors (249001704).

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

83754720 is a wasteful number, since it uses less digits than its factorization.

83754720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 83754720 is about 9151.7604863764. The cubic root of 83754720 is about 437.5252252122.

The spelling of 83754720 in words is "eighty-three million, seven hundred fifty-four thousand, seven hundred twenty".