753928560 has 400 divisors, whose sum is σ = 3266790912. Its totient is φ = 156556800.

The previous prime is 753928543. The next prime is 753928577. The reversal of 753928560 is 65829357.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (753928543) and next prime (753928577).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 498205 + ... + 499715.

Almost surely, 2^753928560 is an apocalyptic number.

753928560 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 753928560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633395456).

753928560 is an abundant number, since it is smaller than the sum of its proper divisors (2512862352).

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

753928560 is a wasteful number, since it uses less digits than its factorization.

753928560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 753928560 is about 27457.7595590026. The cubic root of 753928560 is about 910.1439051090.

The spelling of 753928560 in words is "seven hundred fifty-three million, nine hundred twenty-eight thousand, five hundred sixty".