771349920 has 192 divisors, whose sum is σ = 2672248320. Its totient is φ = 185472000.

The previous prime is 771349903. The next prime is 771349921. The reversal of 771349920 is 29943177.

It is not an unprimeable number, because it can be changed into a prime (771349921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733395 + ... + 734445.

It is an arithmetic number, because the mean of its divisors is an integer number (13917960).

Almost surely, 2^771349920 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 771349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336124160).

771349920 is an abundant number, since it is smaller than the sum of its proper divisors (1900898400).

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

771349920 is a wasteful number, since it uses less digits than its factorization.

771349920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 771349920 is about 27773.1870695461. The cubic root of 771349920 is about 917.1009562342.

The spelling of 771349920 in words is "seven hundred seventy-one million, three hundred forty-nine thousand, nine hundred twenty".