761070144 has 112 divisors (see below), whose sum is σ = 2141012736. Its totient is φ = 237772800.

The previous prime is 761070143. The next prime is 761070151. The reversal of 761070144 is 441070167.

It is not an unprimeable number, because it can be changed into a prime (761070143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1406514 + ... + 1407054.

Almost surely, 2^761070144 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 761070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070506368).

761070144 is an abundant number, since it is smaller than the sum of its proper divisors (1379942592).

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

761070144 is a wasteful number, since it uses less digits than its factorization.

761070144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 761070144 is about 27587.4997779792. The cubic root of 761070144 is about 913.0086562699.

The spelling of 761070144 in words is "seven hundred sixty-one million, seventy thousand, one hundred forty-four".