771871680 has 280 divisors, whose sum is σ = 2783025168. Its totient is φ = 203046912.

The previous prime is 771871673. The next prime is 771871687. The reversal of 771871680 is 86178177.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (771871673) and next prime (771871687).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (771871687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2514087 + ... + 2514393.

Almost surely, 2^771871680 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 771871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391512584).

771871680 is an abundant number, since it is smaller than the sum of its proper divisors (2011153488).

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

771871680 is a wasteful number, since it uses less digits than its factorization.

771871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 45.

The square root of 771871680 is about 27782.5787140071. The cubic root of 771871680 is about 917.3076928189.

The spelling of 771871680 in words is "seven hundred seventy-one million, eight hundred seventy-one thousand, six hundred eighty".