772680 has 64 divisors (see below), whose sum is σ = 2384640. Its totient is φ = 200192.

The previous prime is 772669. The next prime is 772691. The reversal of 772680 is 86277.

It is an interprime number because it is at equal distance from previous prime (772669) and next prime (772691).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

772680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5572 + ... + 5708.

It is an arithmetic number, because the mean of its divisors is an integer number (37260).

2⁷⁷²⁶⁸⁰ 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 772680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192320).

772680 is an abundant number, since it is smaller than the sum of its proper divisors (1611960).

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

772680 is a wasteful number, since it uses less digits than its factorization.

772680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 772680 is about 879.0221840204. The cubic root of 772680 is about 91.7627788975.

The spelling of 772680 in words is "seven hundred seventy-two thousand, six hundred eighty".