772621920 has 144 divisors (see below), whose sum is σ = 3013264800. Its totient is φ = 176596992.

The previous prime is 772621919. The next prime is 772621921. The reversal of 772621920 is 29126277.

772621920 is a `hidden beast` number, since 7 + 7 + 2 + 621 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (772621919) and next prime (772621921).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772621921) 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, 28245 + ... + 48404.

It is an arithmetic number, because the mean of its divisors is an integer number (20925450).

Almost surely, 2^772621920 is an apocalyptic number.

772621920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

772621920 is an abundant number, since it is smaller than the sum of its proper divisors (2240642880).

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

772621920 is a wasteful number, since it uses less digits than its factorization.

772621920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76677 (or 76666 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 772621920 is about 27796.0774211039. The cubic root of 772621920 is about 917.6047966382.

It can be divided in two parts, 7726 and 21920, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 772621920 in words is "seven hundred seventy-two million, six hundred twenty-one thousand, nine hundred twenty".