690780960 has 288 divisors, whose sum is σ = 2482159680. Its totient is φ = 181398528.

The previous prime is 690780943. The next prime is 690780973. The reversal of 690780960 is 69087096.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4237839 + ... + 4238001.

It is an arithmetic number, because the mean of its divisors is an integer number (8618610).

Almost surely, 2^690780960 is an apocalyptic number.

690780960 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 690780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241079840).

690780960 is an abundant number, since it is smaller than the sum of its proper divisors (1791378720).

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

690780960 is a wasteful number, since it uses less digits than its factorization.

690780960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 690780960 is about 26282.7121888134. The cubic root of 690780960 is about 883.9888480265.

The spelling of 690780960 in words is "six hundred ninety million, seven hundred eighty thousand, nine hundred sixty".