763980 has 96 divisors (see below), whose sum is σ = 2612736. Its totient is φ = 162816.

The previous prime is 763967. The next prime is 763999. The reversal of 763980 is 89367.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7087 + ... + 7193.

It is an arithmetic number, because the mean of its divisors is an integer number (27216).

2⁷⁶³⁹⁸⁰ is an apocalyptic number.

763980 is a gapful number since it is divisible by the number (70) 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 763980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368).

763980 is an abundant number, since it is smaller than the sum of its proper divisors (1848756).

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

763980 is a wasteful number, since it uses less digits than its factorization.

763980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 763980 is about 874.0594945426. The cubic root of 763980 is about 91.4170767729.

The spelling of 763980 in words is "seven hundred sixty-three thousand, nine hundred eighty".