687827280 has 160 divisors (see below), whose sum is σ = 2445343488. Its totient is φ = 156672000.

The previous prime is 687827279. The next prime is 687827317. The reversal of 687827280 is 82728786.

It is a super-2 number, since 2×687827280² = 946212734224396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673170 + ... + 674190.

Almost surely, 2^687827280 is an apocalyptic number.

687827280 is a gapful number since it is divisible by the number (60) 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 687827280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222671744).

687827280 is an abundant number, since it is smaller than the sum of its proper divisors (1757516208).

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

687827280 is a wasteful number, since it uses less digits than its factorization.

687827280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 687827280 is about 26226.4614464094. The cubic root of 687827280 is about 882.7271116024.

The spelling of 687827280 in words is "six hundred eighty-seven million, eight hundred twenty-seven thousand, two hundred eighty".