7870464 has 144 divisors (see below), whose sum is σ = 26404560. Its totient is φ = 2211840.

The previous prime is 7870459. The next prime is 7870481. The reversal of 7870464 is 4640787.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128994 + ... + 129054.

It is an arithmetic number, because the mean of its divisors is an integer number (183365).

Almost surely, 2^7870464 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 7870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13202280).

7870464 is an abundant number, since it is smaller than the sum of its proper divisors (18534096).

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

7870464 is a wasteful number, since it uses less digits than its factorization.

7870464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 7870464 is about 2805.4347256709. The cubic root of 7870464 is about 198.9146541091.

The spelling of 7870464 in words is "seven million, eight hundred seventy thousand, four hundred sixty-four".