30978000 has 120 divisors (see below), whose sum is σ = 108258696. Its totient is φ = 8256000.

The previous prime is 30977993. The next prime is 30978041. The reversal of 30978000 is 87903.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 30735936 = 492^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17140 + ... + 18860.

Almost surely, 2^30978000 is an apocalyptic number.

30978000 is a gapful number since it is divisible by the number (30) 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 30978000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54129348).

30978000 is an abundant number, since it is smaller than the sum of its proper divisors (77280696).

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

30978000 is a wasteful number, since it uses less digits than its factorization.

30978000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1750 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 30978000 is about 5565.7883538633. The cubic root of 30978000 is about 314.0637354225.

The spelling of 30978000 in words is "thirty million, nine hundred seventy-eight thousand".