70077360 has 80 divisors (see below), whose sum is σ = 224271360. Its totient is φ = 18082560.

The previous prime is 70077347. The next prime is 70077361. The reversal of 70077360 is 6377007.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70077361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2731 + ... + 12149.

It is an arithmetic number, because the mean of its divisors is an integer number (2803392).

Almost surely, 2^70077360 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 70077360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112135680).

70077360 is an abundant number, since it is smaller than the sum of its proper divisors (154194000).

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

70077360 is a wasteful number, since it uses less digits than its factorization.

70077360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9466 (or 9460 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 30.

The square root of 70077360 is about 8371.2221329983. Note that the first 3 decimals coincide. The cubic root of 70077360 is about 412.2802943878.

The spelling of 70077360 in words is "seventy million, seventy-seven thousand, three hundred sixty".