690072800 has 72 divisors (see below), whose sum is σ = 1720577376. Its totient is φ = 270141440.

The previous prime is 690072793. The next prime is 690072827. The reversal of 690072800 is 8270096.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28424 + ... + 46776.

It is an arithmetic number, because the mean of its divisors is an integer number (23896908).

Almost surely, 2^690072800 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 690072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860288688).

690072800 is an abundant number, since it is smaller than the sum of its proper divisors (1030504576).

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

690072800 is a wasteful number, since it uses less digits than its factorization.

690072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18420 (or 18407 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 690072800 is about 26269.2367608958. The cubic root of 690072800 is about 883.6866685036.

The spelling of 690072800 in words is "six hundred ninety million, seventy-two thousand, eight hundred".