977480 has 32 divisors (see below), whose sum is σ = 2514240. Its totient is φ = 335040.

The previous prime is 977447. The next prime is 977507. The reversal of 977480 is 84779.

977480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 977480.

It is an unprimeable number.

977480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1466 + ... + 2025.

It is an arithmetic number, because the mean of its divisors is an integer number (78570).

2⁹⁷⁷⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

977480 is an abundant number, since it is smaller than the sum of its proper divisors (1536760).

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

977480 is a wasteful number, since it uses less digits than its factorization.

977480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3509 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 977480 is about 988.6758821778. The cubic root of 977480 is about 99.2436267525.

The spelling of 977480 in words is "nine hundred seventy-seven thousand, four hundred eighty".