1377460020 has 192 divisors, whose sum is σ = 4250050560. Its totient is φ = 331941888.

The previous prime is 1377460001. The next prime is 1377460109. The reversal of 1377460020 is 200647731.

It is a super-2 number, since 2×1377460020² = 3794792213396800800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 1377460020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2828217 + ... + 2828703.

It is an arithmetic number, because the mean of its divisors is an integer number (22135680).

Almost surely, 2^1377460020 is an apocalyptic number.

1377460020 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 1377460020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125025280).

1377460020 is an abundant number, since it is smaller than the sum of its proper divisors (2872590540).

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

1377460020 is a wasteful number, since it uses less digits than its factorization.

1377460020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 1377460020 is about 37114.1485150879. The cubic root of 1377460020 is about 1112.6528060105.

The spelling of 1377460020 in words is "one billion, three hundred seventy-seven million, four hundred sixty thousand, twenty".