1334077920 has 576 divisors, whose sum is σ = 5527267200. Its totient is φ = 292626432.

The previous prime is 1334077879. The next prime is 1334077949. The reversal of 1334077920 is 297704331.

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, 18275004 + ... + 18275076.

It is an arithmetic number, because the mean of its divisors is an integer number (9595950).

Almost surely, 2^1334077920 is an apocalyptic number.

1334077920 is a gapful number since it is divisible by the number (10) 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 1334077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2763633600).

1334077920 is an abundant number, since it is smaller than the sum of its proper divisors (4193189280).

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

1334077920 is a wasteful number, since it uses less digits than its factorization.

1334077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1334077920 is about 36525.0314168243. The cubic root of 1334077920 is about 1100.8472590891.

The spelling of 1334077920 in words is "one billion, three hundred thirty-four million, seventy-seven thousand, nine hundred twenty".