761477346 has 72 divisors (see below), whose sum is σ = 1924913484. Its totient is φ = 216921600.

The previous prime is 761477303. The next prime is 761477347. The reversal of 761477346 is 643774167.

761477346 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 2 ways, for example, as 755645121 + 5832225 = 27489^2 + 2415^2 .

It is not an unprimeable number, because it can be changed into a prime (761477347) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 352606 + ... + 354758.

Almost surely, 2^761477346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761477346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962456742).

761477346 is an abundant number, since it is smaller than the sum of its proper divisors (1163436138).

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

761477346 is a wasteful number, since it uses less digits than its factorization.

761477346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2566 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 761477346 is about 27594.8789814342. The cubic root of 761477346 is about 913.1714589008.

The spelling of 761477346 in words is "seven hundred sixty-one million, four hundred seventy-seven thousand, three hundred forty-six".