760475988 has 72 divisors (see below), whose sum is σ = 2041603200. Its totient is φ = 238000896.

The previous prime is 760475983. The next prime is 760476001. The reversal of 760475988 is 889574067.

760475988 is a `hidden beast` number, since 7 + 6 + 0 + 47 + 598 + 8 = 666.

It is a super-2 number, since 2×760475988² = 1156647456649152288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (760475981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72373 + ... + 82211.

It is an arithmetic number, because the mean of its divisors is an integer number (28355600).

Almost surely, 2^760475988 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 760475988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020801600).

760475988 is an abundant number, since it is smaller than the sum of its proper divisors (1281127212).

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

760475988 is a wasteful number, since it uses less digits than its factorization.

760475988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9981 (or 9976 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 760475988 is about 27576.7291026329. The cubic root of 760475988 is about 912.7710037125.

The spelling of 760475988 in words is "seven hundred sixty million, four hundred seventy-five thousand, nine hundred eighty-eight".