801653760 has 220 divisors, whose sum is σ = 2874159948. Its totient is φ = 213663744.

The previous prime is 801653759. The next prime is 801653791. The reversal of 801653760 is 67356108.

It can be written as a sum of positive squares in 2 ways, for example, as 418120704 + 383533056 = 20448^2 + 19584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 413754 + ... + 415686.

Almost surely, 2^801653760 is an apocalyptic number.

801653760 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 801653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437079974).

801653760 is an abundant number, since it is smaller than the sum of its proper divisors (2072506188).

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

801653760 is a wasteful number, since it uses less digits than its factorization.

801653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 801653760 is about 28313.4907773662. The cubic root of 801653760 is about 928.9569992800.

It can be divided in two parts, 8016 and 53760, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 801653760 in words is "eight hundred one million, six hundred fifty-three thousand, seven hundred sixty".