84713760 has 144 divisors (see below), whose sum is σ = 292776120. Its totient is φ = 22302720.

The previous prime is 84713729. The next prime is 84713773. The reversal of 84713760 is 6731748.

84713760 = T₁₃₃₅ + T₁₃₃₆ + ... + T₁₄₂₃.

It can be written as a sum of positive squares in 4 ways, for example, as 67174416 + 17539344 = 8196^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84713760² = 14352842266675200, which contains 22 as substring.

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

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, 127830 + ... + 128490.

Almost surely, 2^84713760 is an apocalyptic number.

84713760 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 84713760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146388060).

84713760 is an abundant number, since it is smaller than the sum of its proper divisors (208062360).

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

84713760 is a wasteful number, since it uses less digits than its factorization.

84713760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 84713760 is about 9204.0078226825. The cubic root of 84713760 is about 439.1888637227.

The spelling of 84713760 in words is "eighty-four million, seven hundred thirteen thousand, seven hundred sixty".