761838 has 64 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 184320.

The previous prime is 761833. The next prime is 761861. The reversal of 761838 is 838167.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 761799 and 761808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761833) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7806 + ... + 7902.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁷⁶¹⁸³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).

761838 is an abundant number, since it is smaller than the sum of its proper divisors (1270290).

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

761838 is a wasteful number, since it uses less digits than its factorization.

761838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137.

The product of its digits is 8064, while the sum is 33.

The square root of 761838 is about 872.8333174209. The cubic root of 761838 is about 91.3315602808.

The spelling of 761838 in words is "seven hundred sixty-one thousand, eight hundred thirty-eight".