726292980 has 288 divisors, whose sum is σ = 2686285056. Its totient is φ = 161243136.

The previous prime is 726292979. The next prime is 726292981. The reversal of 726292980 is 89292627.

It is an interprime number because it is at equal distance from previous prime (726292979) and next prime (726292981).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726292981) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1258452 + ... + 1259028.

Almost surely, 2^726292980 is an apocalyptic number.

726292980 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 726292980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343142528).

726292980 is an abundant number, since it is smaller than the sum of its proper divisors (1959992076).

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

726292980 is a wasteful number, since it uses less digits than its factorization.

726292980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 726292980 is about 26949.8233760446. The cubic root of 726292980 is about 898.8846182639.

The spelling of 726292980 in words is "seven hundred twenty-six million, two hundred ninety-two thousand, nine hundred eighty".