749872890 has 320 divisors, whose sum is σ = 2371057920. Its totient is φ = 168376320.

The previous prime is 749872883. The next prime is 749872901. The reversal of 749872890 is 98278947.

749872890 is a `hidden beast` number, since 7 + 498 + 72 + 89 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10561555 + ... + 10561625.

It is an arithmetic number, because the mean of its divisors is an integer number (7409556).

Almost surely, 2^749872890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749872890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185528960).

749872890 is an abundant number, since it is smaller than the sum of its proper divisors (1621185030).

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

749872890 is a wasteful number, since it uses less digits than its factorization.

749872890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 749872890 is about 27383.8070764457. The cubic root of 749872890 is about 908.5089659165.

It can be divided in two parts, 74987 and 2890, that added together give a palindrome (77877).

The spelling of 749872890 in words is "seven hundred forty-nine million, eight hundred seventy-two thousand, eight hundred ninety".