977054000 has 80 divisors (see below), whose sum is σ = 2544316320. Its totient is φ = 360748800.

The previous prime is 977053963. The next prime is 977054009. The reversal of 977054000 is 450779.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (977054009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7211 + ... + 44789.

It is an arithmetic number, because the mean of its divisors is an integer number (31803954).

Almost surely, 2^977054000 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 977054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272158160).

977054000 is an abundant number, since it is smaller than the sum of its proper divisors (1567262320).

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

977054000 is a wasteful number, since it uses less digits than its factorization.

977054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37615 (or 37599 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 977054000 is about 31257.8630107690. The cubic root of 977054000 is about 992.2920738560.

The spelling of 977054000 in words is "nine hundred seventy-seven million, fifty-four thousand".