771650880 has 672 divisors, whose sum is σ = 3359822592. Its totient is φ = 145981440.

The previous prime is 771650849. The next prime is 771650899. The reversal of 771650880 is 88056177.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10570524 + ... + 10570596.

It is an arithmetic number, because the mean of its divisors is an integer number (4999736).

Almost surely, 2^771650880 is an apocalyptic number.

771650880 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 771650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679911296).

771650880 is an abundant number, since it is smaller than the sum of its proper divisors (2588171712).

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

771650880 is a wasteful number, since it uses less digits than its factorization.

771650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 771650880 is about 27778.6047165800. The cubic root of 771650880 is about 917.2202167700.

The spelling of 771650880 in words is "seven hundred seventy-one million, six hundred fifty thousand, eight hundred eighty".