772945920 has 144 divisors (see below), whose sum is σ = 2679211080. Its totient is φ = 206094336.

The previous prime is 772945913. The next prime is 772945931. The reversal of 772945920 is 29549277.

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 87967 + ... + 96353.

Almost surely, 2^772945920 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 772945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339605540).

772945920 is an abundant number, since it is smaller than the sum of its proper divisors (1906265160).

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

772945920 is a wasteful number, since it uses less digits than its factorization.

772945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8420 (or 8397 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 772945920 is about 27801.9049707030. The cubic root of 772945920 is about 917.7330449650.

The spelling of 772945920 in words is "seven hundred seventy-two million, nine hundred forty-five thousand, nine hundred twenty".