772867760 has 80 divisors (see below), whose sum is σ = 2066462976. Its totient is φ = 263326464.

The previous prime is 772867747. The next prime is 772867801. The reversal of 772867760 is 67768277.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 772867699 and 772867708.

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 15 ways as a sum of consecutive naturals, for example, 87047 + ... + 95513.

Almost surely, 2^772867760 is an apocalyptic number.

772867760 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 772867760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033231488).

772867760 is an abundant number, since it is smaller than the sum of its proper divisors (1293595216).

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

772867760 is a wasteful number, since it uses less digits than its factorization.

772867760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8650 (or 8644 counting only the distinct ones).

The product of its (nonzero) digits is 1382976, while the sum is 50.

The square root of 772867760 is about 27800.4992760921. The cubic root of 772867760 is about 917.7021103158.

The spelling of 772867760 in words is "seven hundred seventy-two million, eight hundred sixty-seven thousand, seven hundred sixty".