772240480 has 96 divisors (see below), whose sum is σ = 2023183008. Its totient is φ = 276172800.

The previous prime is 772240477. The next prime is 772240481. The reversal of 772240480 is 84042277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772240481) 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 15 ways as a sum of consecutive naturals, for example, 103764 + ... + 110956.

It is an arithmetic number, because the mean of its divisors is an integer number (21074823).

Almost surely, 2^772240480 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 772240480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011591504).

772240480 is an abundant number, since it is smaller than the sum of its proper divisors (1250942528).

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

772240480 is a wasteful number, since it uses less digits than its factorization.

772240480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7280 (or 7272 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 772240480 is about 27789.2151742362. The cubic root of 772240480 is about 917.4537659809.

The spelling of 772240480 in words is "seven hundred seventy-two million, two hundred forty thousand, four hundred eighty".