770150400 has 312 divisors, whose sum is σ = 2681405760. Its totient is φ = 194641920.

The previous prime is 770150383. The next prime is 770150401. The reversal of 770150400 is 4051077.

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

It is not an unprimeable number, because it can be changed into a prime (770150401) 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, 7065546 + ... + 7065654.

Almost surely, 2^770150400 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 770150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340702880).

770150400 is an abundant number, since it is smaller than the sum of its proper divisors (1911255360).

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

770150400 is a wasteful number, since it uses less digits than its factorization.

770150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 770150400 is about 27751.5837385905. The cubic root of 770150400 is about 916.6253175104.

The spelling of 770150400 in words is "seven hundred seventy million, one hundred fifty thousand, four hundred".