977214000 has 320 divisors, whose sum is σ = 3676907520. Its totient is φ = 218649600.

The previous prime is 977213981. The next prime is 977214011. The reversal of 977214000 is 412779.

977214000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 2225781 + ... + 2226219.

It is an arithmetic number, because the mean of its divisors is an integer number (11490336).

Almost surely, 2^977214000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838453760).

977214000 is an abundant number, since it is smaller than the sum of its proper divisors (2699693520).

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

977214000 is a wasteful number, since it uses less digits than its factorization.

977214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 977214000 is about 31260.4222620233. The cubic root of 977214000 is about 992.3462360163.

Adding to 977214000 its reverse (412779), we get a palindrome (977626779).

The spelling of 977214000 in words is "nine hundred seventy-seven million, two hundred fourteen thousand".