758076480 has 336 divisors, whose sum is σ = 3078626304. Its totient is φ = 167546880.

The previous prime is 758076469. The next prime is 758076493. The reversal of 758076480 is 84670857.

758076480 is a `hidden beast` number, since 7 + 580 + 7 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624354 + ... + 625566.

Almost surely, 2^758076480 is an apocalyptic number.

758076480 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 758076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539313152).

758076480 is an abundant number, since it is smaller than the sum of its proper divisors (2320549824).

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

758076480 is a wasteful number, since it uses less digits than its factorization.

758076480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 758076480 is about 27533.1887001851. The cubic root of 758076480 is about 911.8099788778.

The spelling of 758076480 in words is "seven hundred fifty-eight million, seventy-six thousand, four hundred eighty".