977340672 has 324 divisors, whose sum is σ = 3580523856. Its totient is φ = 253532160.

The previous prime is 977340667. The next prime is 977340673. The reversal of 977340672 is 276043779.

It is a happy number.

It is a super-3 number, since 3×977340672³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (977340673) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241463 + ... + 1242249.

Almost surely, 2^977340672 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 977340672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790261928).

977340672 is an abundant number, since it is smaller than the sum of its proper divisors (2603183184).

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

977340672 is a wasteful number, since it uses less digits than its factorization.

977340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 977340672 is about 31262.4482726481. The cubic root of 977340672 is about 992.3891120057.

The spelling of 977340672 in words is "nine hundred seventy-seven million, three hundred forty thousand, six hundred seventy-two".