761364 has 18 divisors (see below), whose sum is σ = 1924650. Its totient is φ = 253776.

The previous prime is 761363. The next prime is 761377. The reversal of 761364 is 463167.

761364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 501264 + 260100 = 708^2 + 510^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 761364.

It is not an unprimeable number, because it can be changed into a prime (761363) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10539 + ... + 10610.

It is an arithmetic number, because the mean of its divisors is an integer number (106925).

2⁷⁶¹³⁶⁴ is an apocalyptic number.

It is an amenable number.

761364 is an abundant number, since it is smaller than the sum of its proper divisors (1163286).

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

761364 is a wasteful number, since it uses less digits than its factorization.

761364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21159 (or 21154 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 761364 is about 872.5617456662. The cubic root of 761364 is about 91.3126148090.

The spelling of 761364 in words is "seven hundred sixty-one thousand, three hundred sixty-four".