801781493760 has 1248 divisors, whose sum is σ = 3290886930240. Its totient is φ = 185752092672.

The previous prime is 801781493717. The next prime is 801781493771. The reversal of 801781493760 is 67394187108.

801781493760 is a `hidden beast` number, since 8 + 0 + 1 + 7 + 81 + 493 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 801781493697 and 801781493706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47163617272 + ... + 47163617288.

It is an arithmetic number, because the mean of its divisors is an integer number (2636928630).

Almost surely, 2^801781493760 is an apocalyptic number.

801781493760 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 801781493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645443465120).

801781493760 is an abundant number, since it is smaller than the sum of its proper divisors (2489105436480).

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

801781493760 is an frugal number, since it uses more digits than its factorization.

801781493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 801781493760 in words is "eight hundred one billion, seven hundred eighty-one million, four hundred ninety-three thousand, seven hundred sixty".