761129460 has 288 divisors, whose sum is σ = 2948504832. Its totient is φ = 160496640.

The previous prime is 761129431. The next prime is 761129471. The reversal of 761129460 is 64921167.

761129460 is a `hidden beast` number, since 76 + 1 + 129 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 441400 + ... + 443120.

It is an arithmetic number, because the mean of its divisors is an integer number (10237864).

Almost surely, 2^761129460 is an apocalyptic number.

761129460 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 761129460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474252416).

761129460 is an abundant number, since it is smaller than the sum of its proper divisors (2187375372).

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

761129460 is a wasteful number, since it uses less digits than its factorization.

761129460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 761129460 is about 27588.5748091488. The cubic root of 761129460 is about 913.0323748960.

The spelling of 761129460 in words is "seven hundred sixty-one million, one hundred twenty-nine thousand, four hundred sixty".