771921920 has 288 divisors, whose sum is σ = 2352823200. Its totient is φ = 237895680.

The previous prime is 771921827. The next prime is 771921923. The reversal of 771921920 is 29129177.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (771921923) 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, 8673236 + ... + 8673324.

It is an arithmetic number, because the mean of its divisors is an integer number (8169525).

Almost surely, 2^771921920 is an apocalyptic number.

771921920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 771921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176411600).

771921920 is an abundant number, since it is smaller than the sum of its proper divisors (1580901280).

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

771921920 is a wasteful number, since it uses less digits than its factorization.

771921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 38.

The square root of 771921920 is about 27783.4828630249. The cubic root of 771921920 is about 917.3275944596.

The spelling of 771921920 in words is "seven hundred seventy-one million, nine hundred twenty-one thousand, nine hundred twenty".