693829080 has 384 divisors, whose sum is σ = 2784038400. Its totient is φ = 146313216.

The previous prime is 693829057. The next prime is 693829093. The reversal of 693829080 is 80928396.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2058672 + ... + 2059008.

It is an arithmetic number, because the mean of its divisors is an integer number (7250100).

Almost surely, 2^693829080 is an apocalyptic number.

693829080 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 693829080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392019200).

693829080 is an abundant number, since it is smaller than the sum of its proper divisors (2090209320).

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

693829080 is a wasteful number, since it uses less digits than its factorization.

693829080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 693829080 is about 26340.6355276406. The cubic root of 693829080 is about 885.2871614332.

The spelling of 693829080 in words is "six hundred ninety-three million, eight hundred twenty-nine thousand, eighty".