750628480 has 128 divisors (see below), whose sum is σ = 2067482880. Its totient is φ = 255270912.

The previous prime is 750628477. The next prime is 750628507. The reversal of 750628480 is 84826057.

750628480 = T₃₇₈ + T₃₇₉ + ... + T₁₆₅₇.

750628480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×750628480² = 1126886229974220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 613149 + ... + 614371.

It is an arithmetic number, because the mean of its divisors is an integer number (16152210).

Almost surely, 2^750628480 is an apocalyptic number.

750628480 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 750628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033741440).

750628480 is an abundant number, since it is smaller than the sum of its proper divisors (1316854400).

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

750628480 is a wasteful number, since it uses less digits than its factorization.

750628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 750628480 is about 27397.5998948813. The cubic root of 750628480 is about 908.8140086613.

The spelling of 750628480 in words is "seven hundred fifty million, six hundred twenty-eight thousand, four hundred eighty".