801078624 has 144 divisors (see below), whose sum is σ = 2432430000. Its totient is φ = 249200640.

The previous prime is 801078617. The next prime is 801078647. The reversal of 801078624 is 426870108.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 640752 + ... + 642000.

It is an arithmetic number, because the mean of its divisors is an integer number (16891875).

Almost surely, 2^801078624 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 801078624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216215000).

801078624 is an abundant number, since it is smaller than the sum of its proper divisors (1631351376).

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

801078624 is a wasteful number, since it uses less digits than its factorization.

801078624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 801078624 is about 28303.3323833078. The cubic root of 801078624 is about 928.7347901167.

The spelling of 801078624 in words is "eight hundred one million, seventy-eight thousand, six hundred twenty-four".