7977480 has 64 divisors (see below), whose sum is σ = 27354240. Its totient is φ = 1823232.

The previous prime is 7977457. The next prime is 7977503. The reversal of 7977480 is 847797.

It is an interprime number because it is at equal distance from previous prime (7977457) and next prime (7977503).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 15 ways as a sum of consecutive naturals, for example, 3909 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (427410).

Almost surely, 2^7977480 is an apocalyptic number.

7977480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7977480 is an abundant number, since it is smaller than the sum of its proper divisors (19376760).

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

7977480 is a wasteful number, since it uses less digits than its factorization.

7977480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9518 (or 9514 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 7977480 is about 2824.4433079812. The cubic root of 7977480 is about 199.8121569635.

The spelling of 7977480 in words is "seven million, nine hundred seventy-seven thousand, four hundred eighty".