772482240 has 252 divisors, whose sum is σ = 2807994384. Its totient is φ = 194890752.

The previous prime is 772482127. The next prime is 772482257. The reversal of 772482240 is 42284277.

It is a super-2 number, since 2×772482240² = 1193457622230835200, which contains 22 as substring.

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 = 772482195 and 772482204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1039309 + ... + 1040051.

Almost surely, 2^772482240 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 772482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403997192).

772482240 is an abundant number, since it is smaller than the sum of its proper divisors (2035512144).

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

772482240 is a wasteful number, since it uses less digits than its factorization.

772482240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 772482240 is about 27793.5647227915. The cubic root of 772482240 is about 917.5494962990.

The spelling of 772482240 in words is "seven hundred seventy-two million, four hundred eighty-two thousand, two hundred forty".