772770240 has 448 divisors, whose sum is σ = 3054827520. Its totient is φ = 182292480.

The previous prime is 772770233. The next prime is 772770281. The reversal of 772770240 is 42077277.

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 = 772770195 and 772770204.

It is a congruent number.

It is an unprimeable number.

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, 4466794 + ... + 4466966.

Almost surely, 2^772770240 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 772770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1527413760).

772770240 is an abundant number, since it is smaller than the sum of its proper divisors (2282057280).

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

772770240 is a wasteful number, since it uses less digits than its factorization.

772770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 241 counting only the distinct ones).

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

The square root of 772770240 is about 27798.7452954266. The cubic root of 772770240 is about 917.6635103211.

The spelling of 772770240 in words is "seven hundred seventy-two million, seven hundred seventy thousand, two hundred forty".