772929440 has 48 divisors (see below), whose sum is σ = 1837043712. Its totient is φ = 307309824.

The previous prime is 772929419. The next prime is 772929461. The reversal of 772929440 is 44929277.

772929440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (772929419) and next prime (772929461).

It is a junction number, because it is equal to n+sod(n) for n = 772929391 and 772929400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12257 + ... + 41183.

It is an arithmetic number, because the mean of its divisors is an integer number (38271744).

Almost surely, 2^772929440 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 772929440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918521856).

772929440 is an abundant number, since it is smaller than the sum of its proper divisors (1064114272).

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

772929440 is a wasteful number, since it uses less digits than its factorization.

772929440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29109 (or 29101 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 772929440 is about 27801.6085865548. The cubic root of 772929440 is about 917.7265225820.

The spelling of 772929440 in words is "seven hundred seventy-two million, nine hundred twenty-nine thousand, four hundred forty".