773020800 has 384 divisors, whose sum is σ = 2959632000. Its totient is φ = 196669440.

The previous prime is 773020799. The next prime is 773020811. The reversal of 773020800 is 8020377.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×773020800² = 1195122314465280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1987006 + ... + 1987394.

It is an arithmetic number, because the mean of its divisors is an integer number (7707375).

Almost surely, 2^773020800 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 773020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479816000).

773020800 is an abundant number, since it is smaller than the sum of its proper divisors (2186611200).

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

773020800 is a wasteful number, since it uses less digits than its factorization.

773020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 773020800 is about 27803.2516084001. The cubic root of 773020800 is about 917.7626794796.

The spelling of 773020800 in words is "seven hundred seventy-three million, twenty thousand, eight hundred".