84276720 has 160 divisors (see below), whose sum is σ = 316765440. Its totient is φ = 20424960.

The previous prime is 84276691. The next prime is 84276727. The reversal of 84276720 is 2767248.

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

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84276727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21987 + ... + 25533.

It is an arithmetic number, because the mean of its divisors is an integer number (1979784).

Almost surely, 2^84276720 is an apocalyptic number.

84276720 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 84276720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158382720).

84276720 is an abundant number, since it is smaller than the sum of its proper divisors (232488720).

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

84276720 is a wasteful number, since it uses less digits than its factorization.

84276720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3580 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 84276720 is about 9180.2352911023. The cubic root of 84276720 is about 438.4322997762.

The spelling of 84276720 in words is "eighty-four million, two hundred seventy-six thousand, seven hundred twenty".