80970240 has 160 divisors (see below), whose sum is σ = 279107136. Its totient is φ = 19906560.

The previous prime is 80970223. The next prime is 80970251. The reversal of 80970240 is 4207908.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a junction number, because it is equal to n+sod(n) for n = 80970198 and 80970207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99435 + ... + 100245.

Almost surely, 2^80970240 is an apocalyptic number.

80970240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139553568).

80970240 is an abundant number, since it is smaller than the sum of its proper divisors (198136896).

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

80970240 is a wasteful number, since it uses less digits than its factorization.

80970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 80970240 is about 8998.3465147770. The cubic root of 80970240 is about 432.6218752838.

The spelling of 80970240 in words is "eighty million, nine hundred seventy thousand, two hundred forty".