760106040 has 128 divisors (see below), whose sum is σ = 2426112000. Its totient is φ = 189851648.

The previous prime is 760105999. The next prime is 760106041. The reversal of 760106040 is 40601067.

It is a super-2 number, since 2×760106040² = 1155522384088963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 760106040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760106041) 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, 486781 + ... + 488339.

It is an arithmetic number, because the mean of its divisors is an integer number (18954000).

Almost surely, 2^760106040 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 760106040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213056000).

760106040 is an abundant number, since it is smaller than the sum of its proper divisors (1666005960).

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

760106040 is a wasteful number, since it uses less digits than its factorization.

760106040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 760106040 is about 27570.0206746386. The cubic root of 760106040 is about 912.6229681032.

The spelling of 760106040 in words is "seven hundred sixty million, one hundred six thousand, forty".