693787680 has 480 divisors, whose sum is σ = 2687198976. Its totient is φ = 167878656.

The previous prime is 693787669. The next prime is 693787681. The reversal of 693787680 is 86787396.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (693787681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10355007 + ... + 10355073.

Almost surely, 2^693787680 is an apocalyptic number.

693787680 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 693787680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343599488).

693787680 is an abundant number, since it is smaller than the sum of its proper divisors (1993411296).

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

693787680 is a wasteful number, since it uses less digits than its factorization.

693787680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 693787680 is about 26339.8496578853. The cubic root of 693787680 is about 885.2695530536.

It can be divided in two parts, 6937876 and 80, that added together give a square (6937956 = 2634²).

The spelling of 693787680 in words is "six hundred ninety-three million, seven hundred eighty-seven thousand, six hundred eighty".