770459040 has 480 divisors, whose sum is σ = 3112013520. Its totient is φ = 177831936.

The previous prime is 770459017. The next prime is 770459071. The reversal of 770459040 is 40954077.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 118984464 + 651474576 = 10908^2 + 25524^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 770458986 and 770459004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2864026 + ... + 2864294.

Almost surely, 2^770459040 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 770459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556006760).

770459040 is an abundant number, since it is smaller than the sum of its proper divisors (2341554480).

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

770459040 is a wasteful number, since it uses less digits than its factorization.

770459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 770459040 is about 27757.1439452981. The cubic root of 770459040 is about 916.7477479060.

The spelling of 770459040 in words is "seven hundred seventy million, four hundred fifty-nine thousand, forty".