770826240 has 448 divisors, whose sum is σ = 2972531520. Its totient is φ = 188743680.

The previous prime is 770826233. The next prime is 770826247. The reversal of 770826240 is 42628077.

It is an interprime number because it is at equal distance from previous prime (770826233) and next prime (770826247).

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 = 770826195 and 770826204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770826247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18800620 + ... + 18800660.

It is an arithmetic number, because the mean of its divisors is an integer number (6635115).

Almost surely, 2^770826240 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 770826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486265760).

770826240 is an abundant number, since it is smaller than the sum of its proper divisors (2201705280).

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

770826240 is a wasteful number, since it uses less digits than its factorization.

770826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 770826240 is about 27763.7576707477. The cubic root of 770826240 is about 916.8933651249.

The spelling of 770826240 in words is "seven hundred seventy million, eight hundred twenty-six thousand, two hundred forty".