776832 has 96 divisors (see below), whose sum is σ = 2505120. Its totient is φ = 208896.

The previous prime is 776819. The next prime is 776837. The reversal of 776832 is 238677.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 776793 and 776802.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 776832.

It is not an unprimeable number, because it can be changed into a prime (776837) 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, 45688 + ... + 45704.

It is an arithmetic number, because the mean of its divisors is an integer number (26095).

2⁷⁷⁶⁸³² 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 776832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252560).

776832 is an abundant number, since it is smaller than the sum of its proper divisors (1728288).

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

776832 is a wasteful number, since it uses less digits than its factorization.

776832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 776832 is about 881.3807349835. The cubic root of 776832 is about 91.9268479621.

It can be divided in two parts, 7 and 76832, that multiplied together give a 5-th power (537824 = 14⁵).

The spelling of 776832 in words is "seven hundred seventy-six thousand, eight hundred thirty-two".