690077000 has 64 divisors (see below), whose sum is σ = 1618671600. Its totient is φ = 275366400.

The previous prime is 690076999. The next prime is 690077051. The reversal of 690077000 is 770096.

It can be written as a sum of positive squares in 8 ways, for example, as 10640644 + 679436356 = 3262^2 + 26066^2 .

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 15 ways as a sum of consecutive naturals, for example, 808574 + ... + 809426.

Almost surely, 2^690077000 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 690077000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809335800).

690077000 is an abundant number, since it is smaller than the sum of its proper divisors (928594600).

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

690077000 is a wasteful number, since it uses less digits than its factorization.

690077000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 29.

The square root of 690077000 is about 26269.3167021908. The cubic root of 690077000 is about 883.6884612982.

The spelling of 690077000 in words is "six hundred ninety million, seventy-seven thousand".