761976 has 48 divisors (see below), whose sum is σ = 2176200. Its totient is φ = 240192.

The previous prime is 761963. The next prime is 761977. The reversal of 761976 is 679167.

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

Its product of digits (15876) is a multiple of the sum of its prime factors (588).

It is a self number, because there is not a number n which added to its sum of digits gives 761976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761977) by changing a digit.

761976 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 11 ways as a sum of consecutive naturals, for example, 1090 + ... + 1646.

2⁷⁶¹⁹⁷⁶ is an apocalyptic number.

761976 is a gapful number since it is divisible by the number (76) 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 761976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088100).

761976 is an abundant number, since it is smaller than the sum of its proper divisors (1414224).

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

761976 is a wasteful number, since it uses less digits than its factorization.

761976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 581 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 761976 is about 872.9123667356. The cubic root of 761976 is about 91.3370745740.

The spelling of 761976 in words is "seven hundred sixty-one thousand, nine hundred seventy-six".