7971480 has 192 divisors, whose sum is σ = 29685600. Its totient is φ = 1900800.

The previous prime is 7971461. The next prime is 7971493. The reversal of 7971480 is 841797.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130650 + ... + 130710.

Almost surely, 2^7971480 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 7971480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14842800).

7971480 is an abundant number, since it is smaller than the sum of its proper divisors (21714120).

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

7971480 is a wasteful number, since it uses less digits than its factorization.

7971480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 7971480 is about 2823.3809519794. The cubic root of 7971480 is about 199.7620503454.

The spelling of 7971480 in words is "seven million, nine hundred seventy-one thousand, four hundred eighty".