772780400 has 240 divisors, whose sum is σ = 2273187840. Its totient is φ = 246758400.

The previous prime is 772780399. The next prime is 772780433. The reversal of 772780400 is 4087277.

772780400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

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, 2517047 + ... + 2517353.

It is an arithmetic number, because the mean of its divisors is an integer number (9471616).

Almost surely, 2^772780400 is an apocalyptic number.

772780400 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 772780400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136593920).

772780400 is an abundant number, since it is smaller than the sum of its proper divisors (1500407440).

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

772780400 is a wasteful number, since it uses less digits than its factorization.

772780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 772780400 is about 27798.9280368866. The cubic root of 772780400 is about 917.6675319651.

The spelling of 772780400 in words is "seven hundred seventy-two million, seven hundred eighty thousand, four hundred".