70492800 has 192 divisors, whose sum is σ = 265608000. Its totient is φ = 16097280.

The previous prime is 70492789. The next prime is 70492801. The reversal of 70492800 is 829407.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (70492801) 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, 66676 + ... + 67724.

It is an arithmetic number, because the mean of its divisors is an integer number (1383375).

Almost surely, 2^70492800 is an apocalyptic number.

70492800 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 70492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132804000).

70492800 is an abundant number, since it is smaller than the sum of its proper divisors (195115200).

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

70492800 is a wasteful number, since it uses less digits than its factorization.

70492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1066 counting only the distinct ones).

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

The square root of 70492800 is about 8395.9990471653. Note that the first 3 decimals coincide. The cubic root of 70492800 is about 413.0933975718.

The spelling of 70492800 in words is "seventy million, four hundred ninety-two thousand, eight hundred".