770661000 has 512 divisors, whose sum is σ = 2992204800. Its totient is φ = 182476800.

The previous prime is 770660981. The next prime is 770661013. The reversal of 770661000 is 166077.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10556964 + ... + 10557036.

It is an arithmetic number, because the mean of its divisors is an integer number (5844150).

Almost surely, 2^770661000 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 770661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496102400).

770661000 is an abundant number, since it is smaller than the sum of its proper divisors (2221543800).

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

770661000 is a wasteful number, since it uses less digits than its factorization.

770661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 770661000 is about 27760.7816892825. The cubic root of 770661000 is about 916.8278431006.

The spelling of 770661000 in words is "seven hundred seventy million, six hundred sixty-one thousand".