772050240 has 336 divisors, whose sum is σ = 3030522768. Its totient is φ = 178716672.

The previous prime is 772050229. The next prime is 772050241. The reversal of 772050240 is 42050277.

It can be written as a sum of positive squares in 8 ways, for example, as 122412096 + 649638144 = 11064^2 + 25488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772050241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635874 + ... + 637086.

It is an arithmetic number, because the mean of its divisors is an integer number (9019413).

Almost surely, 2^772050240 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 772050240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515261384).

772050240 is an abundant number, since it is smaller than the sum of its proper divisors (2258472528).

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

772050240 is a wasteful number, since it uses less digits than its factorization.

772050240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 772050240 is about 27785.7920527740. The cubic root of 772050240 is about 917.3784221197.

The spelling of 772050240 in words is "seven hundred seventy-two million, fifty thousand, two hundred forty".