748776960 has 400 divisors, whose sum is σ = 2816310816. Its totient is φ = 189775872.

The previous prime is 748776943. The next prime is 748776989. The reversal of 748776960 is 69677847.

748776960 is a `hidden beast` number, since 7 + 487 + 76 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 748776897 and 748776906.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4769202 + ... + 4769358.

Almost surely, 2^748776960 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 748776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408155408).

748776960 is an abundant number, since it is smaller than the sum of its proper divisors (2067533856).

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

748776960 is a wasteful number, since it uses less digits than its factorization.

748776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The square root of 748776960 is about 27363.7892112916. The cubic root of 748776960 is about 908.0661585696.

The spelling of 748776960 in words is "seven hundred forty-eight million, seven hundred seventy-six thousand, nine hundred sixty".