1007620800 has 168 divisors, whose sum is σ = 3449945856. Its totient is φ = 256988160.

The previous prime is 1007620781. The next prime is 1007620811. The reversal of 1007620800 is 80267001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105837 + ... + 114963.

It is an arithmetic number, because the mean of its divisors is an integer number (20535392).

Almost surely, 2^1007620800 is an apocalyptic number.

1007620800 is a gapful number since it is divisible by the number (10) 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 1007620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1724972928).

1007620800 is an abundant number, since it is smaller than the sum of its proper divisors (2442325056).

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

1007620800 is a wasteful number, since it uses less digits than its factorization.

1007620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175 (or 9160 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1007620800 is about 31743.0433323587. The cubic root of 1007620800 is about 1002.5338408943.

Adding to 1007620800 its reverse (80267001), we get a palindrome (1087887801).

It can be divided in two parts, 10076 and 20800, that added together give a triangular number (30876 = T₂₄₈).

The spelling of 1007620800 in words is "one billion, seven million, six hundred twenty thousand, eight hundred".