761940 has 96 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 188928.

The previous prime is 761939. The next prime is 761963. The reversal of 761940 is 49167.

761940 is a `hidden beast` number, since 7 + 619 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9139 + ... + 9221.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁷⁶¹⁹⁴⁰ 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 761940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

761940 is an abundant number, since it is smaller than the sum of its proper divisors (1778220).

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

761940 is a wasteful number, since it uses less digits than its factorization.

761940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 761940 is about 872.8917458654. The cubic root of 761940 is about 91.3356361269.

It can be divided in two parts, 76 and 1940, that added together give a triangular number (2016 = T₆₃).

The spelling of 761940 in words is "seven hundred sixty-one thousand, nine hundred forty".