678045732 has 144 divisors (see below), whose sum is σ = 2002916160. Its totient is φ = 176940288.

The previous prime is 678045713. The next prime is 678045749. The reversal of 678045732 is 237540876.

It is a super-3 number, since 3×678045732³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 817494 + ... + 818322.

It is an arithmetic number, because the mean of its divisors is an integer number (13909140).

Almost surely, 2^678045732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678045732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001458080).

678045732 is an abundant number, since it is smaller than the sum of its proper divisors (1324870428).

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

678045732 is a wasteful number, since it uses less digits than its factorization.

678045732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 678045732 is about 26039.3112812148. The cubic root of 678045732 is about 878.5227159832.

It can be divided in two parts, 67804 and 5732, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 678045732 in words is "six hundred seventy-eight million, forty-five thousand, seven hundred thirty-two".