772929720 has 192 divisors, whose sum is σ = 2638509120. Its totient is φ = 195858432.

The previous prime is 772929691. The next prime is 772929757. The reversal of 772929720 is 27929277.

772929720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2293392 + ... + 2293728.

It is an arithmetic number, because the mean of its divisors is an integer number (13742235).

Almost surely, 2^772929720 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 772929720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319254560).

772929720 is an abundant number, since it is smaller than the sum of its proper divisors (1865579400).

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

772929720 is a wasteful number, since it uses less digits than its factorization.

772929720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 772929720 is about 27801.6136222342. The cubic root of 772929720 is about 917.7266333999.

The spelling of 772929720 in words is "seven hundred seventy-two million, nine hundred twenty-nine thousand, seven hundred twenty".