801354960 has 480 divisors, whose sum is σ = 3327787008. Its totient is φ = 168791040.

The previous prime is 801354949. The next prime is 801354971. The reversal of 801354960 is 69453108.

It is an interprime number because it is at equal distance from previous prime (801354949) and next prime (801354971).

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 95 ways as a sum of consecutive naturals, for example, 3593409 + ... + 3593631.

Almost surely, 2^801354960 is an apocalyptic number.

801354960 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 801354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663893504).

801354960 is an abundant number, since it is smaller than the sum of its proper divisors (2526432048).

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

801354960 is a wasteful number, since it uses less digits than its factorization.

801354960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 801354960 is about 28308.2136490454. The cubic root of 801354960 is about 928.8415683800.

The spelling of 801354960 in words is "eight hundred one million, three hundred fifty-four thousand, nine hundred sixty".