726398848 has 128 divisors (see below), whose sum is σ = 1771960320. Its totient is φ = 289529856.

The previous prime is 726398839. The next prime is 726398879. The reversal of 726398848 is 848893627.

726398848 = T₈₃₀₇ + T₈₃₀₈ + ... + T₈₃₂₇.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568665 + ... + 1569127.

It is an arithmetic number, because the mean of its divisors is an integer number (13843440).

Almost surely, 2^726398848 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 726398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885980160).

726398848 is an abundant number, since it is smaller than the sum of its proper divisors (1045561472).

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

726398848 is a wasteful number, since it uses less digits than its factorization.

726398848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

The square root of 726398848 is about 26951.7874731900. The cubic root of 726398848 is about 898.9282914077.

The spelling of 726398848 in words is "seven hundred twenty-six million, three hundred ninety-eight thousand, eight hundred forty-eight".