1878007680 has 320 divisors, whose sum is σ = 7104548880. Its totient is φ = 471121920.

The previous prime is 1878007627. The next prime is 1878007699. The reversal of 1878007680 is 867008781.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1878007680² = 7053825692277964800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 880215 + ... + 882345.

Almost surely, 2^1878007680 is an apocalyptic number.

1878007680 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 1878007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3552274440).

1878007680 is an abundant number, since it is smaller than the sum of its proper divisors (5226541200).

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

1878007680 is a wasteful number, since it uses less digits than its factorization.

1878007680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The square root of 1878007680 is about 43335.9859700919. The cubic root of 1878007680 is about 1233.7650250847.

The spelling of 1878007680 in words is "one billion, eight hundred seventy-eight million, seven thousand, six hundred eighty".