1878972480 has 672 divisors, whose sum is σ = 8311530240. Its totient is φ = 378224640.

The previous prime is 1878972461. The next prime is 1878972499. The reversal of 1878972480 is 842798781.

It is a happy number.

1878972480 is a `hidden beast` number, since 1 + 8 + 78 + 97 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1878972461) and next prime (1878972499).

It is a tau number, because it is divible by the number of its divisors (672).

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, 8205006 + ... + 8205234.

Almost surely, 2^1878972480 is an apocalyptic number.

1878972480 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 1878972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155765120).

1878972480 is an abundant number, since it is smaller than the sum of its proper divisors (6432557760).

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

1878972480 is a wasteful number, since it uses less digits than its factorization.

1878972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 1878972480 is about 43347.1161670531. The cubic root of 1878972480 is about 1233.9762653843.

The spelling of 1878972480 in words is "one billion, eight hundred seventy-eight million, nine hundred seventy-two thousand, four hundred eighty".