761880 has 64 divisors (see below), whose sum is σ = 2615040. Its totient is φ = 173952.

The previous prime is 761879. The next prime is 761897. The reversal of 761880 is 88167.

It is a super-2 number, since 2×761880² = 1160922268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (40860).

2⁷⁶¹⁸⁸⁰ is an apocalyptic number.

761880 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 761880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307520).

761880 is an abundant number, since it is smaller than the sum of its proper divisors (1853160).

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

761880 is a wasteful number, since it uses less digits than its factorization.

761880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 761880 is about 872.8573766659. The cubic root of 761880 is about 91.3332386144. Note that the first 3 decimals are identical.

The spelling of 761880 in words is "seven hundred sixty-one thousand, eight hundred eighty".