82607760 has 180 divisors, whose sum is σ = 295445748. Its totient is φ = 20680704.

The previous prime is 82607741. The next prime is 82607779. The reversal of 82607760 is 6770628.

It is an interprime number because it is at equal distance from previous prime (82607741) and next prime (82607779).

It can be written as a sum of positive squares in 6 ways, for example, as 7750656 + 74857104 = 2784^2 + 8652^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 207882 + ... + 208278.

Almost surely, 2^82607760 is an apocalyptic number.

82607760 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 82607760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147722874).

82607760 is an abundant number, since it is smaller than the sum of its proper divisors (212837988).

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

82607760 is a wasteful number, since it uses less digits than its factorization.

82607760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

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

The square root of 82607760 is about 9088.8811192577. The cubic root of 82607760 is about 435.5188418697.

The spelling of 82607760 in words is "eighty-two million, six hundred seven thousand, seven hundred sixty".