777672 has 48 divisors (see below), whose sum is σ = 2408640. Its totient is φ = 222048.

The previous prime is 777671. The next prime is 777677. The reversal of 777672 is 276777.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 777672.

It is not an unprimeable number, because it can be changed into a prime (777671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268 + ... + 1275.

It is an arithmetic number, because the mean of its divisors is an integer number (50180).

2⁷⁷⁷⁶⁷² is an apocalyptic number.

777672 is a gapful number since it is divisible by the number (72) 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 777672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204320).

777672 is an abundant number, since it is smaller than the sum of its proper divisors (1630968).

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

777672 is a wasteful number, since it uses less digits than its factorization.

777672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1555 counting only the distinct ones).

The product of its digits is 28812, while the sum is 36.

The square root of 777672 is about 881.8571312860. The cubic root of 777672 is about 91.9599699827.

The spelling of 777672 in words is "seven hundred seventy-seven thousand, six hundred seventy-two".