826270720 has 176 divisors, whose sum is σ = 2292115968. Its totient is φ = 282460160.

The previous prime is 826270691. The next prime is 826270723. The reversal of 826270720 is 27072628.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-4 number, since 4×826270720⁴ (a number of 37 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (826270723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 957009 + ... + 957871.

Almost surely, 2^826270720 is an apocalyptic number.

826270720 is a gapful number since it is divisible by the number (80) 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 826270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146057984).

826270720 is an abundant number, since it is smaller than the sum of its proper divisors (1465845248).

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

826270720 is a wasteful number, since it uses less digits than its factorization.

826270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 826270720 is about 28744.9251173142. The cubic root of 826270720 is about 938.3700135799.

The spelling of 826270720 in words is "eight hundred twenty-six million, two hundred seventy thousand, seven hundred twenty".