70760880 has 120 divisors (see below), whose sum is σ = 248028768. Its totient is φ = 18044928.

The previous prime is 70760873. The next prime is 70760881. The reversal of 70760880 is 8806707.

70760880 = 1743² + 1744² + ... + 1765².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (70760881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14424 + ... + 18696.

Almost surely, 2^70760880 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 70760880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124014384).

70760880 is an abundant number, since it is smaller than the sum of its proper divisors (177267888).

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

70760880 is a wasteful number, since it uses less digits than its factorization.

70760880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4315 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 70760880 is about 8411.9486446364. The cubic root of 70760880 is about 413.6163918444.

The spelling of 70760880 in words is "seventy million, seven hundred sixty thousand, eight hundred eighty".