739006920 has 192 divisors, whose sum is σ = 2494206000. Its totient is φ = 189609984.

The previous prime is 739006903. The next prime is 739006921. The reversal of 739006920 is 29600937.

It can be written as a sum of positive squares in 8 ways, for example, as 648109764 + 90897156 = 25458^2 + 9534^2 .

It is a super-2 number, since 2×739006920² = 1092262455615772800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (739006921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451626 + ... + 1452134.

Almost surely, 2^739006920 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 739006920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247103000).

739006920 is an abundant number, since it is smaller than the sum of its proper divisors (1755199080).

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

739006920 is a wasteful number, since it uses less digits than its factorization.

739006920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 739006920 is about 27184.6817159959. The cubic root of 739006920 is about 904.0993736530.

The spelling of 739006920 in words is "seven hundred thirty-nine million, six thousand, nine hundred twenty".