699978240 has 640 divisors, whose sum is σ = 2887315200. Its totient is φ = 159252480.

The previous prime is 699978211. The next prime is 699978263. The reversal of 699978240 is 42879996.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17072620 + ... + 17072660.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2^699978240 is an apocalyptic number.

699978240 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 699978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443657600).

699978240 is an abundant number, since it is smaller than the sum of its proper divisors (2187336960).

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

699978240 is a wasteful number, since it uses less digits than its factorization.

699978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 699978240 is about 26457.1018821034. The cubic root of 699978240 is about 887.8948012706.

The spelling of 699978240 in words is "six hundred ninety-nine million, nine hundred seventy-eight thousand, two hundred forty".