70801920 has 240 divisors, whose sum is σ = 280874880. Its totient is φ = 16146432.

The previous prime is 70801919. The next prime is 70801921. The reversal of 70801920 is 2910807.

It is an interprime number because it is at equal distance from previous prime (70801919) and next prime (70801921).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (70801921) 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, 161061 + ... + 161499.

It is an arithmetic number, because the mean of its divisors is an integer number (1170312).

Almost surely, 2^70801920 is an apocalyptic number.

70801920 is a gapful number since it is divisible by the number (70) 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 70801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140437440).

70801920 is an abundant number, since it is smaller than the sum of its proper divisors (210072960).

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

70801920 is a wasteful number, since it uses less digits than its factorization.

70801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 70801920 is about 8414.3876782568. The cubic root of 70801920 is about 413.6963396728.

The spelling of 70801920 in words is "seventy million, eight hundred one thousand, nine hundred twenty".