82978560 has 360 divisors, whose sum is σ = 343514640. Its totient is φ = 18966528.

The previous prime is 82978559. The next prime is 82978601. The reversal of 82978560 is 6587928.

82978560 is a `hidden beast` number, since 82 + 9 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11854077 + ... + 11854083.

Almost surely, 2^82978560 is an apocalyptic number.

82978560 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 82978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171757320).

82978560 is an abundant number, since it is smaller than the sum of its proper divisors (260536080).

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

82978560 is an frugal number, since it uses more digits than its factorization.

82978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 82978560 is about 9109.2568302798. The cubic root of 82978560 is about 436.1695045555.

82978560 divided by its product of nonzero digits (241920) gives a palindrome (343).

It can be divided in two parts, 82978 and 560, that added together give a palindrome (83538).

The spelling of 82978560 in words is "eighty-two million, nine hundred seventy-eight thousand, five hundred sixty".