752642820 has 192 divisors, whose sum is σ = 2491104000. Its totient is φ = 188116992.

The previous prime is 752642783. The next prime is 752642837. The reversal of 752642820 is 28246257.

752642820 is a `hidden beast` number, since 7 + 5 + 2 + 642 + 8 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1118004 + ... + 1118676.

It is an arithmetic number, because the mean of its divisors is an integer number (12974500).

Almost surely, 2^752642820 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 752642820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245552000).

752642820 is an abundant number, since it is smaller than the sum of its proper divisors (1738461180).

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

752642820 is a wasteful number, since it uses less digits than its factorization.

752642820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 752642820 is about 27434.3365146672. The cubic root of 752642820 is about 909.6262281756.

The spelling of 752642820 in words is "seven hundred fifty-two million, six hundred forty-two thousand, eight hundred twenty".