771907968 has 384 divisors, whose sum is σ = 2619751680. Its totient is φ = 224446464.

The previous prime is 771907957. The next prime is 771908017. The reversal of 771907968 is 869709177.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×771907968² = 1191683822123778048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9300055 + ... + 9300137.

It is an arithmetic number, because the mean of its divisors is an integer number (6822270).

Almost surely, 2^771907968 is an apocalyptic number.

771907968 is a gapful number since it is divisible by the number (78) 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 771907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309875840).

771907968 is an abundant number, since it is smaller than the sum of its proper divisors (1847843712).

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

771907968 is a wasteful number, since it uses less digits than its factorization.

771907968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The square root of 771907968 is about 27783.2317774589. The cubic root of 771907968 is about 917.3220677212.

It can be divided in two parts, 77190 and 7968, that added together give a palindrome (85158).

The spelling of 771907968 in words is "seven hundred seventy-one million, nine hundred seven thousand, nine hundred sixty-eight".