772928064 has 168 divisors, whose sum is σ = 2369832192. Its totient is φ = 240261120.

The previous prime is 772928063. The next prime is 772928071. The reversal of 772928064 is 460829277.

It is not an unprimeable number, because it can be changed into a prime (772928063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542457 + ... + 543879.

It is an arithmetic number, because the mean of its divisors is an integer number (14106144).

Almost surely, 2^772928064 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 772928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184916096).

772928064 is an abundant number, since it is smaller than the sum of its proper divisors (1596904128).

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

772928064 is a wasteful number, since it uses less digits than its factorization.

772928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 772928064 is about 27801.5838397743. The cubic root of 772928064 is about 917.7259779904.

The spelling of 772928064 in words is "seven hundred seventy-two million, nine hundred twenty-eight thousand, sixty-four".