772980 has 48 divisors (see below), whose sum is σ = 2333184. Its totient is φ = 190080.

The previous prime is 772963. The next prime is 772987. The reversal of 772980 is 89277.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772987) by changing a digit.

772980 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, 285 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (48608).

2⁷⁷²⁹⁸⁰ 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 772980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166592).

772980 is an abundant number, since it is smaller than the sum of its proper divisors (1560204).

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

772980 is a wasteful number, since it uses less digits than its factorization.

772980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 772980 is about 879.1928116176. The cubic root of 772980 is about 91.7746532706.

The spelling of 772980 in words is "seven hundred seventy-two thousand, nine hundred eighty".