827502480 has 280 divisors, whose sum is σ = 3298306752. Its totient is φ = 189050112.

The previous prime is 827502469. The next prime is 827502491. The reversal of 827502480 is 84205728.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (827502469) and next prime (827502491).

It is a tau number, because it is divible by the number of its divisors (280).

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 55 ways as a sum of consecutive naturals, for example, 407227 + ... + 409253.

Almost surely, 2^827502480 is an apocalyptic number.

827502480 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 827502480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649153376).

827502480 is an abundant number, since it is smaller than the sum of its proper divisors (2470804272).

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

827502480 is a wasteful number, since it uses less digits than its factorization.

827502480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 827502480 is about 28766.3428332487. The cubic root of 827502480 is about 938.8360725995.

The spelling of 827502480 in words is "eight hundred twenty-seven million, five hundred two thousand, four hundred eighty".