814366980 has 768 divisors, whose sum is σ = 3483648000. Its totient is φ = 153280512.

The previous prime is 814366933. The next prime is 814366991. The reversal of 814366980 is 89663418.

814366980 is a `hidden beast` number, since 81 + 436 + 69 + 80 = 666.

It is a super-2 number, since 2×814366980² = 1326387156228640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28081606 + ... + 28081634.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^814366980 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 814366980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741824000).

814366980 is an abundant number, since it is smaller than the sum of its proper divisors (2669281020).

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

814366980 is a wasteful number, since it uses less digits than its factorization.

814366980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 814366980 is about 28537.1158318426. The cubic root of 814366980 is about 933.8419628462.

The spelling of 814366980 in words is "eight hundred fourteen million, three hundred sixty-six thousand, nine hundred eighty".