771828480 has 288 divisors, whose sum is σ = 2860945920. Its totient is φ = 196669440.

The previous prime is 771828479. The next prime is 771828481. The reversal of 771828480 is 84828177.

It is an interprime number because it is at equal distance from previous prime (771828479) and next prime (771828481).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×771828480² = 1191438405078220800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (771828481) 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, 794395 + ... + 795365.

It is an arithmetic number, because the mean of its divisors is an integer number (9933840).

Almost surely, 2^771828480 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 771828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430472960).

771828480 is an abundant number, since it is smaller than the sum of its proper divisors (2089117440).

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

771828480 is a wasteful number, since it uses less digits than its factorization.

771828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 771828480 is about 27781.8012375008. The cubic root of 771828480 is about 917.2905792525.

The spelling of 771828480 in words is "seven hundred seventy-one million, eight hundred twenty-eight thousand, four hundred eighty".