757728048 has 160 divisors (see below), whose sum is σ = 2451271680. Its totient is φ = 195943680.

The previous prime is 757728019. The next prime is 757728053. The reversal of 757728048 is 840827757.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 757727988 and 757728006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1622311 + ... + 1622777.

It is an arithmetic number, because the mean of its divisors is an integer number (15320448).

Almost surely, 2^757728048 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 757728048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225635840).

757728048 is an abundant number, since it is smaller than the sum of its proper divisors (1693543632).

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

757728048 is a wasteful number, since it uses less digits than its factorization.

757728048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The square root of 757728048 is about 27526.8604820819. The cubic root of 757728048 is about 911.6702601422.

The spelling of 757728048 in words is "seven hundred fifty-seven million, seven hundred twenty-eight thousand, forty-eight".