771766380 has 480 divisors, whose sum is σ = 3161410560. Its totient is φ = 152824320.

The previous prime is 771766363. The next prime is 771766393. The reversal of 771766380 is 83667177.

It is a happy number.

771766380 is a `hidden beast` number, since 7 + 7 + 1 + 7 + 6 + 638 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2868886 + ... + 2869154.

It is an arithmetic number, because the mean of its divisors is an integer number (6586272).

Almost surely, 2^771766380 is an apocalyptic number.

771766380 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 771766380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705280).

771766380 is an abundant number, since it is smaller than the sum of its proper divisors (2389644180).

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

771766380 is a wasteful number, since it uses less digits than its factorization.

771766380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 771766380 is about 27780.6835769029. The cubic root of 771766380 is about 917.2659773821.

The spelling of 771766380 in words is "seven hundred seventy-one million, seven hundred sixty-six thousand, three hundred eighty".