770746000 has 80 divisors (see below), whose sum is σ = 1973378160. Its totient is φ = 290150400.

The previous prime is 770745973. The next prime is 770746007. The reversal of 770746000 is 647077.

It can be written as a sum of positive squares in 8 ways, for example, as 17572864 + 753173136 = 4192^2 + 27444^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (770746007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22666 + ... + 45334.

It is an arithmetic number, because the mean of its divisors is an integer number (24667227).

Almost surely, 2^770746000 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 770746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986689080).

770746000 is an abundant number, since it is smaller than the sum of its proper divisors (1202632160).

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

770746000 is a wasteful number, since it uses less digits than its factorization.

770746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22709 (or 22693 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 31.

The square root of 770746000 is about 27762.3125837888. The cubic root of 770746000 is about 916.8615490152.

The spelling of 770746000 in words is "seven hundred seventy million, seven hundred forty-six thousand".