770772240 has 320 divisors, whose sum is σ = 3195033600. Its totient is φ = 166841856.

The previous prime is 770772217. The next prime is 770772241. The reversal of 770772240 is 42277077.

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 = 770772195 and 770772204.

It is not an unprimeable number, because it can be changed into a prime (770772241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 285939 + ... + 288621.

It is an arithmetic number, because the mean of its divisors is an integer number (9984480).

Almost surely, 2^770772240 is an apocalyptic number.

770772240 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770772240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597516800).

770772240 is an abundant number, since it is smaller than the sum of its proper divisors (2424261360).

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

770772240 is a wasteful number, since it uses less digits than its factorization.

770772240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 38416, while the sum is 36.

The square root of 770772240 is about 27762.7851628759. The cubic root of 770772240 is about 916.8719537288.

The spelling of 770772240 in words is "seven hundred seventy million, seven hundred seventy-two thousand, two hundred forty".