1677883680 has 768 divisors, whose sum is σ = 7106641920. Its totient is φ = 364953600.

The previous prime is 1677883679. The next prime is 1677883681. The reversal of 1677883680 is 863887761.

It is an interprime number because it is at equal distance from previous prime (1677883679) and next prime (1677883681).

It is a super-2 number, since 2×1677883680² = 5630587287220684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1677883681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25043007 + ... + 25043073.

It is an arithmetic number, because the mean of its divisors is an integer number (9253440).

Almost surely, 2^1677883680 is an apocalyptic number.

1677883680 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 1677883680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3553320960).

1677883680 is an abundant number, since it is smaller than the sum of its proper divisors (5428758240).

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

1677883680 is a wasteful number, since it uses less digits than its factorization.

1677883680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 1677883680 is about 40961.9784678426. The cubic root of 1677883680 is about 1188.2850045729.

The spelling of 1677883680 in words is "one billion, six hundred seventy-seven million, eight hundred eighty-three thousand, six hundred eighty".