772950720 has 224 divisors, whose sum is σ = 2579632128. Its totient is φ = 195858432.

The previous prime is 772950707. The next prime is 772950743. The reversal of 772950720 is 27059277.

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 31 ways as a sum of consecutive naturals, for example, 1669209 + ... + 1669671.

Almost surely, 2^772950720 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 772950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289816064).

772950720 is an abundant number, since it is smaller than the sum of its proper divisors (1806681408).

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

772950720 is a wasteful number, since it uses less digits than its factorization.

772950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 772950720 is about 27801.9912955889. The cubic root of 772950720 is about 917.7349446708.

The spelling of 772950720 in words is "seven hundred seventy-two million, nine hundred fifty thousand, seven hundred twenty".