760399488 has 224 divisors, whose sum is σ = 2357928900. Its totient is φ = 243855360.

The previous prime is 760399447. The next prime is 760399501. The reversal of 760399488 is 884993067.

760399488 is a `hidden beast` number, since 76 + 0 + 3 + 99 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 752514624 + 7884864 = 27432^2 + 2808^2 .

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 Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2705908 + ... + 2706188.

Almost surely, 2^760399488 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 760399488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178964450).

760399488 is an abundant number, since it is smaller than the sum of its proper divisors (1597529412).

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

760399488 is an equidigital number, since it uses as much as digits as its factorization.

760399488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 760399488 is about 27575.3420287038. The cubic root of 760399488 is about 912.7403959859.

The spelling of 760399488 in words is "seven hundred sixty million, three hundred ninety-nine thousand, four hundred eighty-eight".